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Finding the Fourth Proportional to 6,510.47, 9,781.74 and 4,171.48

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Solution

The fourth proportional to 6,510.47, 9,781.74 and 4,171.48 is: 6,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.47 : 9,781.74 = 4,171.48 : x
  2. Step 2: Convert to fraction form
    6,510.47/9,781.74 = 4,171.48/x
  3. Step 3: Cross multiply
    6,510.47x = 9,781.74 × 4,171.48
  4. Step 4: Simplify right side
    6,510.47x = 40,804,308.32
  5. Step 5: Solve for x
    x = 40,804,308.32/6,510.47
  6. Step 6: Final answer
    x = 6,267.50

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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.