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Finding the Fourth Proportional to 7,214.58, 10,830.06 and 6,738.90

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Solution

The fourth proportional to 7,214.58, 10,830.06 and 6,738.90 is: 10,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.58 : 10,830.06 = 6,738.90 : x
  2. Step 2: Convert to fraction form
    7,214.58/10,830.06 = 6,738.90/x
  3. Step 3: Cross multiply
    7,214.58x = 10,830.06 × 6,738.90
  4. Step 4: Simplify right side
    7,214.58x = 72,982,691.33
  5. Step 5: Solve for x
    x = 72,982,691.33/7,214.58
  6. Step 6: Final answer
    x = 10,116.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.