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Finding the Fourth Proportional to 6,098.65, 9,148.01 and 1,716.15

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Solution

The fourth proportional to 6,098.65, 9,148.01 and 1,716.15 is: 2,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.65 : 9,148.01 = 1,716.15 : x
  2. Step 2: Convert to fraction form
    6,098.65/9,148.01 = 1,716.15/x
  3. Step 3: Cross multiply
    6,098.65x = 9,148.01 × 1,716.15
  4. Step 4: Simplify right side
    6,098.65x = 15,699,357.36
  5. Step 5: Solve for x
    x = 15,699,357.36/6,098.65
  6. Step 6: Final answer
    x = 2,574.23

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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.