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Finding the Fourth Proportional to 10,642.76, 14,684.76 and 6,166.24

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Solution

The fourth proportional to 10,642.76, 14,684.76 and 6,166.24 is: 8,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.76 : 14,684.76 = 6,166.24 : x
  2. Step 2: Convert to fraction form
    10,642.76/14,684.76 = 6,166.24/x
  3. Step 3: Cross multiply
    10,642.76x = 14,684.76 × 6,166.24
  4. Step 4: Simplify right side
    10,642.76x = 90,549,717.79
  5. Step 5: Solve for x
    x = 90,549,717.79/10,642.76
  6. Step 6: Final answer
    x = 8,508.11

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Half scale
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Double scale
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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.