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Finding the Fourth Proportional to 7,007.76, 9,669.32 and 3,863.76

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Solution

The fourth proportional to 7,007.76, 9,669.32 and 3,863.76 is: 5,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.76 : 9,669.32 = 3,863.76 : x
  2. Step 2: Convert to fraction form
    7,007.76/9,669.32 = 3,863.76/x
  3. Step 3: Cross multiply
    7,007.76x = 9,669.32 × 3,863.76
  4. Step 4: Simplify right side
    7,007.76x = 37,359,931.84
  5. Step 5: Solve for x
    x = 37,359,931.84/7,007.76
  6. Step 6: Final answer
    x = 5,331.22

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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.