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Finding the Fourth Proportional to 7,039.53, 10,548.81 and 6,417.16

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Solution

The fourth proportional to 7,039.53, 10,548.81 and 6,417.16 is: 9,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.53 : 10,548.81 = 6,417.16 : x
  2. Step 2: Convert to fraction form
    7,039.53/10,548.81 = 6,417.16/x
  3. Step 3: Cross multiply
    7,039.53x = 10,548.81 × 6,417.16
  4. Step 4: Simplify right side
    7,039.53x = 67,693,375.21
  5. Step 5: Solve for x
    x = 67,693,375.21/7,039.53
  6. Step 6: Final answer
    x = 9,616.18

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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.