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Finding the Fourth Proportional to 6,473.80, 9,710.70 and 6,117.40

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Solution

The fourth proportional to 6,473.80, 9,710.70 and 6,117.40 is: 9,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.80 : 9,710.70 = 6,117.40 : x
  2. Step 2: Convert to fraction form
    6,473.80/9,710.70 = 6,117.40/x
  3. Step 3: Cross multiply
    6,473.80x = 9,710.70 × 6,117.40
  4. Step 4: Simplify right side
    6,473.80x = 59,404,236.18
  5. Step 5: Solve for x
    x = 59,404,236.18/6,473.80
  6. Step 6: Final answer
    x = 9,176.10

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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.