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Finding the Fourth Proportional to 15,602.72, 23,407.12 and 5,742.08

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Solution

The fourth proportional to 15,602.72, 23,407.12 and 5,742.08 is: 8,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602.72 : 23,407.12 = 5,742.08 : x
  2. Step 2: Convert to fraction form
    15,602.72/23,407.12 = 5,742.08/x
  3. Step 3: Cross multiply
    15,602.72x = 23,407.12 × 5,742.08
  4. Step 4: Simplify right side
    15,602.72x = 134,405,555.61
  5. Step 5: Solve for x
    x = 134,405,555.61/15,602.72
  6. Step 6: Final answer
    x = 8,614.24

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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.