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Finding the Fourth Proportional to 10,397.57, 14,348.14 and 5,921.51

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Solution

The fourth proportional to 10,397.57, 14,348.14 and 5,921.51 is: 8,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.57 : 14,348.14 = 5,921.51 : x
  2. Step 2: Convert to fraction form
    10,397.57/14,348.14 = 5,921.51/x
  3. Step 3: Cross multiply
    10,397.57x = 14,348.14 × 5,921.51
  4. Step 4: Simplify right side
    10,397.57x = 84,962,567.95
  5. Step 5: Solve for x
    x = 84,962,567.95/10,397.57
  6. Step 6: Final answer
    x = 8,171.39

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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.