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Finding the Fourth Proportional to 6,411.80, 9,617.70 and 6,055.40

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Solution

The fourth proportional to 6,411.80, 9,617.70 and 6,055.40 is: 9,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.80 : 9,617.70 = 6,055.40 : x
  2. Step 2: Convert to fraction form
    6,411.80/9,617.70 = 6,055.40/x
  3. Step 3: Cross multiply
    6,411.80x = 9,617.70 × 6,055.40
  4. Step 4: Simplify right side
    6,411.80x = 58,239,020.58
  5. Step 5: Solve for x
    x = 58,239,020.58/6,411.80
  6. Step 6: Final answer
    x = 9,083.10

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Similar ratio
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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.