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Finding the Fourth Proportional to 6,842.88, 10,215.72 and 6,599.88

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Solution

The fourth proportional to 6,842.88, 10,215.72 and 6,599.88 is: 9,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.88 : 10,215.72 = 6,599.88 : x
  2. Step 2: Convert to fraction form
    6,842.88/10,215.72 = 6,599.88/x
  3. Step 3: Cross multiply
    6,842.88x = 10,215.72 × 6,599.88
  4. Step 4: Simplify right side
    6,842.88x = 67,422,526.11
  5. Step 5: Solve for x
    x = 67,422,526.11/6,842.88
  6. Step 6: Final answer
    x = 9,852.95

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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.