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Finding the Fourth Proportional to 10,264.82, 15,324.33 and 9,900.32

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Solution

The fourth proportional to 10,264.82, 15,324.33 and 9,900.32 is: 14,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.82 : 15,324.33 = 9,900.32 : x
  2. Step 2: Convert to fraction form
    10,264.82/15,324.33 = 9,900.32/x
  3. Step 3: Cross multiply
    10,264.82x = 15,324.33 × 9,900.32
  4. Step 4: Simplify right side
    10,264.82x = 151,715,721.28
  5. Step 5: Solve for x
    x = 151,715,721.28/10,264.82
  6. Step 6: Final answer
    x = 14,780.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.