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Finding the Fourth Proportional to 25,714.53, 38,574.88 and 9,071.12

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Solution

The fourth proportional to 25,714.53, 38,574.88 and 9,071.12 is: 13,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.53 : 38,574.88 = 9,071.12 : x
  2. Step 2: Convert to fraction form
    25,714.53/38,574.88 = 9,071.12/x
  3. Step 3: Cross multiply
    25,714.53x = 38,574.88 × 9,071.12
  4. Step 4: Simplify right side
    25,714.53x = 349,917,439.22
  5. Step 5: Solve for x
    x = 349,917,439.22/25,714.53
  6. Step 6: Final answer
    x = 13,607.77

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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.