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Finding the Fourth Proportional to 10,424.76, 14,371.14 and 7,435.38

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Solution

The fourth proportional to 10,424.76, 14,371.14 and 7,435.38 is: 10,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.76 : 14,371.14 = 7,435.38 : x
  2. Step 2: Convert to fraction form
    10,424.76/14,371.14 = 7,435.38/x
  3. Step 3: Cross multiply
    10,424.76x = 14,371.14 × 7,435.38
  4. Step 4: Simplify right side
    10,424.76x = 106,854,886.93
  5. Step 5: Solve for x
    x = 106,854,886.93/10,424.76
  6. Step 6: Final answer
    x = 10,250.11

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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.