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Finding the Fourth Proportional to 4,751.60, 7,127.40 and 2,410.70

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Solution

The fourth proportional to 4,751.60, 7,127.40 and 2,410.70 is: 3,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.60 : 7,127.40 = 2,410.70 : x
  2. Step 2: Convert to fraction form
    4,751.60/7,127.40 = 2,410.70/x
  3. Step 3: Cross multiply
    4,751.60x = 7,127.40 × 2,410.70
  4. Step 4: Simplify right side
    4,751.60x = 17,182,023.18
  5. Step 5: Solve for x
    x = 17,182,023.18/4,751.60
  6. Step 6: Final answer
    x = 3,616.05

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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.