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Finding the Fourth Proportional to 9,902.70, 14,854.05 and 2,507.09

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Solution

The fourth proportional to 9,902.70, 14,854.05 and 2,507.09 is: 3,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.70 : 14,854.05 = 2,507.09 : x
  2. Step 2: Convert to fraction form
    9,902.70/14,854.05 = 2,507.09/x
  3. Step 3: Cross multiply
    9,902.70x = 14,854.05 × 2,507.09
  4. Step 4: Simplify right side
    9,902.70x = 37,240,365.94
  5. Step 5: Solve for x
    x = 37,240,365.94/9,902.70
  6. Step 6: Final answer
    x = 3,760.63

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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.