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Finding the Fourth Proportional to 7,629.60, 11,444.40 and 7,046.40

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Solution

The fourth proportional to 7,629.60, 11,444.40 and 7,046.40 is: 10,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.60 : 11,444.40 = 7,046.40 : x
  2. Step 2: Convert to fraction form
    7,629.60/11,444.40 = 7,046.40/x
  3. Step 3: Cross multiply
    7,629.60x = 11,444.40 × 7,046.40
  4. Step 4: Simplify right side
    7,629.60x = 80,641,820.16
  5. Step 5: Solve for x
    x = 80,641,820.16/7,629.60
  6. Step 6: Final answer
    x = 10,569.60

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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.