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Finding the Fourth Proportional to 10,658.58, 14,708.63 and 5,878.96

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Solution

The fourth proportional to 10,658.58, 14,708.63 and 5,878.96 is: 8,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.58 : 14,708.63 = 5,878.96 : x
  2. Step 2: Convert to fraction form
    10,658.58/14,708.63 = 5,878.96/x
  3. Step 3: Cross multiply
    10,658.58x = 14,708.63 × 5,878.96
  4. Step 4: Simplify right side
    10,658.58x = 86,471,425.35
  5. Step 5: Solve for x
    x = 86,471,425.35/10,658.58
  6. Step 6: Final answer
    x = 8,112.85

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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.