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Finding the Fourth Proportional to 15,884.42, 23,811.13 and 7,562.20

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Solution

The fourth proportional to 15,884.42, 23,811.13 and 7,562.20 is: 11,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.42 : 23,811.13 = 7,562.20 : x
  2. Step 2: Convert to fraction form
    15,884.42/23,811.13 = 7,562.20/x
  3. Step 3: Cross multiply
    15,884.42x = 23,811.13 × 7,562.20
  4. Step 4: Simplify right side
    15,884.42x = 180,064,477.21
  5. Step 5: Solve for x
    x = 180,064,477.21/15,884.42
  6. Step 6: Final answer
    x = 11,335.92

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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.