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Finding the Fourth Proportional to 6,787.89, 9,368.42 and 5,024.57

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Solution

The fourth proportional to 6,787.89, 9,368.42 and 5,024.57 is: 6,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.89 : 9,368.42 = 5,024.57 : x
  2. Step 2: Convert to fraction form
    6,787.89/9,368.42 = 5,024.57/x
  3. Step 3: Cross multiply
    6,787.89x = 9,368.42 × 5,024.57
  4. Step 4: Simplify right side
    6,787.89x = 47,072,210.11
  5. Step 5: Solve for x
    x = 47,072,210.11/6,787.89
  6. Step 6: Final answer
    x = 6,934.73

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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.