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Finding the Fourth Proportional to 10,385.71, 14,332.71 and 5,910.24

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Solution

The fourth proportional to 10,385.71, 14,332.71 and 5,910.24 is: 8,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.71 : 14,332.71 = 5,910.24 : x
  2. Step 2: Convert to fraction form
    10,385.71/14,332.71 = 5,910.24/x
  3. Step 3: Cross multiply
    10,385.71x = 14,332.71 × 5,910.24
  4. Step 4: Simplify right side
    10,385.71x = 84,709,755.95
  5. Step 5: Solve for x
    x = 84,709,755.95/10,385.71
  6. Step 6: Final answer
    x = 8,156.38

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Half scale
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Double scale
Find fourth proportional to 10,386.71, 14,334.09 and 5,911.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.