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Finding the Fourth Proportional to 4,655.60, 6,974.02 and 2,153.26

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Solution

The fourth proportional to 4,655.60, 6,974.02 and 2,153.26 is: 3,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.60 : 6,974.02 = 2,153.26 : x
  2. Step 2: Convert to fraction form
    4,655.60/6,974.02 = 2,153.26/x
  3. Step 3: Cross multiply
    4,655.60x = 6,974.02 × 2,153.26
  4. Step 4: Simplify right side
    4,655.60x = 15,016,876.16
  5. Step 5: Solve for x
    x = 15,016,876.16/4,655.60
  6. Step 6: Final answer
    x = 3,225.55

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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.