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Finding the Fourth Proportional to 9,714.52, 13,408.16 and 6,177.04

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Solution

The fourth proportional to 9,714.52, 13,408.16 and 6,177.04 is: 8,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.52 : 13,408.16 = 6,177.04 : x
  2. Step 2: Convert to fraction form
    9,714.52/13,408.16 = 6,177.04/x
  3. Step 3: Cross multiply
    9,714.52x = 13,408.16 × 6,177.04
  4. Step 4: Simplify right side
    9,714.52x = 82,822,740.65
  5. Step 5: Solve for x
    x = 82,822,740.65/9,714.52
  6. Step 6: Final answer
    x = 8,525.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.