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Finding the Fourth Proportional to 5,047.46, 7,565.12 and 4,456.98

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Solution

The fourth proportional to 5,047.46, 7,565.12 and 4,456.98 is: 6,680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.46 : 7,565.12 = 4,456.98 : x
  2. Step 2: Convert to fraction form
    5,047.46/7,565.12 = 4,456.98/x
  3. Step 3: Cross multiply
    5,047.46x = 7,565.12 × 4,456.98
  4. Step 4: Simplify right side
    5,047.46x = 33,717,588.54
  5. Step 5: Solve for x
    x = 33,717,588.54/5,047.46
  6. Step 6: Final answer
    x = 6,680.11

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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.