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Finding the Fourth Proportional to 6,657.65, 9,985.46 and 4,184.92

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Solution

The fourth proportional to 6,657.65, 9,985.46 and 4,184.92 is: 6,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.65 : 9,985.46 = 4,184.92 : x
  2. Step 2: Convert to fraction form
    6,657.65/9,985.46 = 4,184.92/x
  3. Step 3: Cross multiply
    6,657.65x = 9,985.46 × 4,184.92
  4. Step 4: Simplify right side
    6,657.65x = 41,788,351.26
  5. Step 5: Solve for x
    x = 41,788,351.26/6,657.65
  6. Step 6: Final answer
    x = 6,276.74

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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.