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Finding the Fourth Proportional to 9,525.71, 13,147.07 and 5,549.15

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Solution

The fourth proportional to 9,525.71, 13,147.07 and 5,549.15 is: 7,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.71 : 13,147.07 = 5,549.15 : x
  2. Step 2: Convert to fraction form
    9,525.71/13,147.07 = 5,549.15/x
  3. Step 3: Cross multiply
    9,525.71x = 13,147.07 × 5,549.15
  4. Step 4: Simplify right side
    9,525.71x = 72,954,970.01
  5. Step 5: Solve for x
    x = 72,954,970.01/9,525.71
  6. Step 6: Final answer
    x = 7,658.75

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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.