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Finding the Fourth Proportional to 6,653.86, 9,964.38 and 4,182.55

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Solution

The fourth proportional to 6,653.86, 9,964.38 and 4,182.55 is: 6,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.86 : 9,964.38 = 4,182.55 : x
  2. Step 2: Convert to fraction form
    6,653.86/9,964.38 = 4,182.55/x
  3. Step 3: Cross multiply
    6,653.86x = 9,964.38 × 4,182.55
  4. Step 4: Simplify right side
    6,653.86x = 41,676,508.34
  5. Step 5: Solve for x
    x = 41,676,508.34/6,653.86
  6. Step 6: Final answer
    x = 6,263.51

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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.