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Finding the Fourth Proportional to 9,807.15, 13,540.74 and 7,534.71

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Solution

The fourth proportional to 9,807.15, 13,540.74 and 7,534.71 is: 10,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.15 : 13,540.74 = 7,534.71 : x
  2. Step 2: Convert to fraction form
    9,807.15/13,540.74 = 7,534.71/x
  3. Step 3: Cross multiply
    9,807.15x = 13,540.74 × 7,534.71
  4. Step 4: Simplify right side
    9,807.15x = 102,025,549.09
  5. Step 5: Solve for x
    x = 102,025,549.09/9,807.15
  6. Step 6: Final answer
    x = 10,403.18

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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.