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Finding the Fourth Proportional to 4,711.97, 7,026.32 and 4,669.74

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Solution

The fourth proportional to 4,711.97, 7,026.32 and 4,669.74 is: 6,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.97 : 7,026.32 = 4,669.74 : x
  2. Step 2: Convert to fraction form
    4,711.97/7,026.32 = 4,669.74/x
  3. Step 3: Cross multiply
    4,711.97x = 7,026.32 × 4,669.74
  4. Step 4: Simplify right side
    4,711.97x = 32,811,099.23
  5. Step 5: Solve for x
    x = 32,811,099.23/4,711.97
  6. Step 6: Final answer
    x = 6,963.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.