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Finding the Fourth Proportional to 12,647.52, 17,454.32 and 7,340.40

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Solution

The fourth proportional to 12,647.52, 17,454.32 and 7,340.40 is: 10,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.52 : 17,454.32 = 7,340.40 : x
  2. Step 2: Convert to fraction form
    12,647.52/17,454.32 = 7,340.40/x
  3. Step 3: Cross multiply
    12,647.52x = 17,454.32 × 7,340.40
  4. Step 4: Simplify right side
    12,647.52x = 128,121,690.53
  5. Step 5: Solve for x
    x = 128,121,690.53/12,647.52
  6. Step 6: Final answer
    x = 10,130.18

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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.