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Finding the Fourth Proportional to 9,807.13, 13,540.36 and 7,534.43

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Solution

The fourth proportional to 9,807.13, 13,540.36 and 7,534.43 is: 10,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.13 : 13,540.36 = 7,534.43 : x
  2. Step 2: Convert to fraction form
    9,807.13/13,540.36 = 7,534.43/x
  3. Step 3: Cross multiply
    9,807.13x = 13,540.36 × 7,534.43
  4. Step 4: Simplify right side
    9,807.13x = 102,018,872.96
  5. Step 5: Solve for x
    x = 102,018,872.96/9,807.13
  6. Step 6: Final answer
    x = 10,402.52

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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.