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Finding the Fourth Proportional to 7,064.15, 9,747.50 and 4,549.67

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Solution

The fourth proportional to 7,064.15, 9,747.50 and 4,549.67 is: 6,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.15 : 9,747.50 = 4,549.67 : x
  2. Step 2: Convert to fraction form
    7,064.15/9,747.50 = 4,549.67/x
  3. Step 3: Cross multiply
    7,064.15x = 9,747.50 × 4,549.67
  4. Step 4: Simplify right side
    7,064.15x = 44,347,908.33
  5. Step 5: Solve for x
    x = 44,347,908.33/7,064.15
  6. Step 6: Final answer
    x = 6,277.88

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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.