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Finding the Fourth Proportional to 15,475.77, 21,357 and 9,102.83

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Solution

The fourth proportional to 15,475.77, 21,357 and 9,102.83 is: 12,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,475.77 : 21,357 = 9,102.83 : x
  2. Step 2: Convert to fraction form
    15,475.77/21,357 = 9,102.83/x
  3. Step 3: Cross multiply
    15,475.77x = 21,357 × 9,102.83
  4. Step 4: Simplify right side
    15,475.77x = 194,409,033.53
  5. Step 5: Solve for x
    x = 194,409,033.53/15,475.77
  6. Step 6: Final answer
    x = 12,562.16

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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.