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Finding the Fourth Proportional to 5,681.92, 7,824.48 and 5,006.32

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Solution

The fourth proportional to 5,681.92, 7,824.48 and 5,006.32 is: 6,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.92 : 7,824.48 = 5,006.32 : x
  2. Step 2: Convert to fraction form
    5,681.92/7,824.48 = 5,006.32/x
  3. Step 3: Cross multiply
    5,681.92x = 7,824.48 × 5,006.32
  4. Step 4: Simplify right side
    5,681.92x = 39,171,850.71
  5. Step 5: Solve for x
    x = 39,171,850.71/5,681.92
  6. Step 6: Final answer
    x = 6,894.12

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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.