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Finding the Fourth Proportional to 10,658.80, 14,709.80 and 5,878.96

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Solution

The fourth proportional to 10,658.80, 14,709.80 and 5,878.96 is: 8,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.80 : 14,709.80 = 5,878.96 : x
  2. Step 2: Convert to fraction form
    10,658.80/14,709.80 = 5,878.96/x
  3. Step 3: Cross multiply
    10,658.80x = 14,709.80 × 5,878.96
  4. Step 4: Simplify right side
    10,658.80x = 86,478,325.81
  5. Step 5: Solve for x
    x = 86,478,325.81/10,658.80
  6. Step 6: Final answer
    x = 8,113.33

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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.