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Finding the Fourth Proportional to 4,902.24, 7,353.12 and 1,254.24

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Solution

The fourth proportional to 4,902.24, 7,353.12 and 1,254.24 is: 1,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.24 : 7,353.12 = 1,254.24 : x
  2. Step 2: Convert to fraction form
    4,902.24/7,353.12 = 1,254.24/x
  3. Step 3: Cross multiply
    4,902.24x = 7,353.12 × 1,254.24
  4. Step 4: Simplify right side
    4,902.24x = 9,222,577.23
  5. Step 5: Solve for x
    x = 9,222,577.23/4,902.24
  6. Step 6: Final answer
    x = 1,881.30

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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.