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Finding the Fourth Proportional to 6,681.57, 9,214.47 and 5,737.06

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Solution

The fourth proportional to 6,681.57, 9,214.47 and 5,737.06 is: 7,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.57 : 9,214.47 = 5,737.06 : x
  2. Step 2: Convert to fraction form
    6,681.57/9,214.47 = 5,737.06/x
  3. Step 3: Cross multiply
    6,681.57x = 9,214.47 × 5,737.06
  4. Step 4: Simplify right side
    6,681.57x = 52,864,006.81
  5. Step 5: Solve for x
    x = 52,864,006.81/6,681.57
  6. Step 6: Final answer
    x = 7,911.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.