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Finding the Fourth Proportional to 6,677.70, 9,213.57 and 4,317

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Solution

The fourth proportional to 6,677.70, 9,213.57 and 4,317 is: 5,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.70 : 9,213.57 = 4,317 : x
  2. Step 2: Convert to fraction form
    6,677.70/9,213.57 = 4,317/x
  3. Step 3: Cross multiply
    6,677.70x = 9,213.57 × 4,317
  4. Step 4: Simplify right side
    6,677.70x = 39,774,981.69
  5. Step 5: Solve for x
    x = 39,774,981.69/6,677.70
  6. Step 6: Final answer
    x = 5,956.39

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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.