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Finding the Fourth Proportional to 9,714.52, 14,543.43 and 7,226.74

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Solution

The fourth proportional to 9,714.52, 14,543.43 and 7,226.74 is: 10,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.52 : 14,543.43 = 7,226.74 : x
  2. Step 2: Convert to fraction form
    9,714.52/14,543.43 = 7,226.74/x
  3. Step 3: Cross multiply
    9,714.52x = 14,543.43 × 7,226.74
  4. Step 4: Simplify right side
    9,714.52x = 105,101,587.32
  5. Step 5: Solve for x
    x = 105,101,587.32/9,714.52
  6. Step 6: Final answer
    x = 10,819.02

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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.