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Finding the Fourth Proportional to 4,774.28, 7,160.04 and 1,654.16

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Solution

The fourth proportional to 4,774.28, 7,160.04 and 1,654.16 is: 2,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.28 : 7,160.04 = 1,654.16 : x
  2. Step 2: Convert to fraction form
    4,774.28/7,160.04 = 1,654.16/x
  3. Step 3: Cross multiply
    4,774.28x = 7,160.04 × 1,654.16
  4. Step 4: Simplify right side
    4,774.28x = 11,843,851.77
  5. Step 5: Solve for x
    x = 11,843,851.77/4,774.28
  6. Step 6: Final answer
    x = 2,480.76

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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.