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Finding the Fourth Proportional to 11,525.64, 15,898.98 and 7,553.16

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Solution

The fourth proportional to 11,525.64, 15,898.98 and 7,553.16 is: 10,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.64 : 15,898.98 = 7,553.16 : x
  2. Step 2: Convert to fraction form
    11,525.64/15,898.98 = 7,553.16/x
  3. Step 3: Cross multiply
    11,525.64x = 15,898.98 × 7,553.16
  4. Step 4: Simplify right side
    11,525.64x = 120,087,539.78
  5. Step 5: Solve for x
    x = 120,087,539.78/11,525.64
  6. Step 6: Final answer
    x = 10,419.16

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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.