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Finding the Fourth Proportional to 7,064.85, 9,747.50 and 4,548.42

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Solution

The fourth proportional to 7,064.85, 9,747.50 and 4,548.42 is: 6,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.85 : 9,747.50 = 4,548.42 : x
  2. Step 2: Convert to fraction form
    7,064.85/9,747.50 = 4,548.42/x
  3. Step 3: Cross multiply
    7,064.85x = 9,747.50 × 4,548.42
  4. Step 4: Simplify right side
    7,064.85x = 44,335,733.19
  5. Step 5: Solve for x
    x = 44,335,733.19/7,064.85
  6. Step 6: Final answer
    x = 6,275.53

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Double scale
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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.