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Finding the Fourth Proportional to 4,902.74, 7,354.23 and 1,440.10

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Solution

The fourth proportional to 4,902.74, 7,354.23 and 1,440.10 is: 2,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.74 : 7,354.23 = 1,440.10 : x
  2. Step 2: Convert to fraction form
    4,902.74/7,354.23 = 1,440.10/x
  3. Step 3: Cross multiply
    4,902.74x = 7,354.23 × 1,440.10
  4. Step 4: Simplify right side
    4,902.74x = 10,590,826.62
  5. Step 5: Solve for x
    x = 10,590,826.62/4,902.74
  6. Step 6: Final answer
    x = 2,160.19

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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.