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Finding the Fourth Proportional to 6,948.84, 10,377.84 and 5,564.28

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Solution

The fourth proportional to 6,948.84, 10,377.84 and 5,564.28 is: 8,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.84 : 10,377.84 = 5,564.28 : x
  2. Step 2: Convert to fraction form
    6,948.84/10,377.84 = 5,564.28/x
  3. Step 3: Cross multiply
    6,948.84x = 10,377.84 × 5,564.28
  4. Step 4: Simplify right side
    6,948.84x = 57,745,207.56
  5. Step 5: Solve for x
    x = 57,745,207.56/6,948.84
  6. Step 6: Final answer
    x = 8,310.05

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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.