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Finding the Fourth Proportional to 23,101.76, 34,655.70 and 7,514.12

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Solution

The fourth proportional to 23,101.76, 34,655.70 and 7,514.12 is: 11,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.76 : 34,655.70 = 7,514.12 : x
  2. Step 2: Convert to fraction form
    23,101.76/34,655.70 = 7,514.12/x
  3. Step 3: Cross multiply
    23,101.76x = 34,655.70 × 7,514.12
  4. Step 4: Simplify right side
    23,101.76x = 260,407,088.48
  5. Step 5: Solve for x
    x = 260,407,088.48/23,101.76
  6. Step 6: Final answer
    x = 11,272.18

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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.