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Finding the Fourth Proportional to 7,008.60, 9,671.40 and 4,024.02

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Solution

The fourth proportional to 7,008.60, 9,671.40 and 4,024.02 is: 5,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.60 : 9,671.40 = 4,024.02 : x
  2. Step 2: Convert to fraction form
    7,008.60/9,671.40 = 4,024.02/x
  3. Step 3: Cross multiply
    7,008.60x = 9,671.40 × 4,024.02
  4. Step 4: Simplify right side
    7,008.60x = 38,917,907.03
  5. Step 5: Solve for x
    x = 38,917,907.03/7,008.60
  6. Step 6: Final answer
    x = 5,552.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.