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Finding the Fourth Proportional to 9,549.71, 13,174.98 and 7,037.81

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Solution

The fourth proportional to 9,549.71, 13,174.98 and 7,037.81 is: 9,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.71 : 13,174.98 = 7,037.81 : x
  2. Step 2: Convert to fraction form
    9,549.71/13,174.98 = 7,037.81/x
  3. Step 3: Cross multiply
    9,549.71x = 13,174.98 × 7,037.81
  4. Step 4: Simplify right side
    9,549.71x = 92,722,940.12
  5. Step 5: Solve for x
    x = 92,722,940.12/9,549.71
  6. Step 6: Final answer
    x = 9,709.51

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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.