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Finding the Fourth Proportional to 9,648.50, 14,472.74 and 6,337.66

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Solution

The fourth proportional to 9,648.50, 14,472.74 and 6,337.66 is: 9,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.50 : 14,472.74 = 6,337.66 : x
  2. Step 2: Convert to fraction form
    9,648.50/14,472.74 = 6,337.66/x
  3. Step 3: Cross multiply
    9,648.50x = 14,472.74 × 6,337.66
  4. Step 4: Simplify right side
    9,648.50x = 91,723,305.39
  5. Step 5: Solve for x
    x = 91,723,305.39/9,648.50
  6. Step 6: Final answer
    x = 9,506.48

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Half scale
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Double scale
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Similar ratio
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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.