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Finding the Fourth Proportional to 6,916.79, 9,542.13 and 4,677.84

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Solution

The fourth proportional to 6,916.79, 9,542.13 and 4,677.84 is: 6,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.79 : 9,542.13 = 4,677.84 : x
  2. Step 2: Convert to fraction form
    6,916.79/9,542.13 = 4,677.84/x
  3. Step 3: Cross multiply
    6,916.79x = 9,542.13 × 4,677.84
  4. Step 4: Simplify right side
    6,916.79x = 44,636,557.40
  5. Step 5: Solve for x
    x = 44,636,557.40/6,916.79
  6. Step 6: Final answer
    x = 6,453.37

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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.