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Finding the Fourth Proportional to 9,921.80, 14,882.70 and 7,732.17

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Solution

The fourth proportional to 9,921.80, 14,882.70 and 7,732.17 is: 11,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.80 : 14,882.70 = 7,732.17 : x
  2. Step 2: Convert to fraction form
    9,921.80/14,882.70 = 7,732.17/x
  3. Step 3: Cross multiply
    9,921.80x = 14,882.70 × 7,732.17
  4. Step 4: Simplify right side
    9,921.80x = 115,075,566.46
  5. Step 5: Solve for x
    x = 115,075,566.46/9,921.80
  6. Step 6: Final answer
    x = 11,598.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.