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Finding the Fourth Proportional to 6,437.71, 9,657.47 and 2,053.68

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Solution

The fourth proportional to 6,437.71, 9,657.47 and 2,053.68 is: 3,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.71 : 9,657.47 = 2,053.68 : x
  2. Step 2: Convert to fraction form
    6,437.71/9,657.47 = 2,053.68/x
  3. Step 3: Cross multiply
    6,437.71x = 9,657.47 × 2,053.68
  4. Step 4: Simplify right side
    6,437.71x = 19,833,352.99
  5. Step 5: Solve for x
    x = 19,833,352.99/6,437.71
  6. Step 6: Final answer
    x = 3,080.81

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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.