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Finding the Fourth Proportional to 7,064.34, 9,747.76 and 4,549.86

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Solution

The fourth proportional to 7,064.34, 9,747.76 and 4,549.86 is: 6,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.34 : 9,747.76 = 4,549.86 : x
  2. Step 2: Convert to fraction form
    7,064.34/9,747.76 = 4,549.86/x
  3. Step 3: Cross multiply
    7,064.34x = 9,747.76 × 4,549.86
  4. Step 4: Simplify right side
    7,064.34x = 44,350,943.31
  5. Step 5: Solve for x
    x = 44,350,943.31/7,064.34
  6. Step 6: Final answer
    x = 6,278.14

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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.