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Finding the Fourth Proportional to 25,714.52, 38,571.87 and 9,065.46

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Solution

The fourth proportional to 25,714.52, 38,571.87 and 9,065.46 is: 13,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.52 : 38,571.87 = 9,065.46 : x
  2. Step 2: Convert to fraction form
    25,714.52/38,571.87 = 9,065.46/x
  3. Step 3: Cross multiply
    25,714.52x = 38,571.87 × 9,065.46
  4. Step 4: Simplify right side
    25,714.52x = 349,671,744.61
  5. Step 5: Solve for x
    x = 349,671,744.61/25,714.52
  6. Step 6: Final answer
    x = 13,598.22

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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.