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Finding the Fourth Proportional to 14,658.46, 20,228.58 and 7,944.08

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Solution

The fourth proportional to 14,658.46, 20,228.58 and 7,944.08 is: 10,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.46 : 20,228.58 = 7,944.08 : x
  2. Step 2: Convert to fraction form
    14,658.46/20,228.58 = 7,944.08/x
  3. Step 3: Cross multiply
    14,658.46x = 20,228.58 × 7,944.08
  4. Step 4: Simplify right side
    14,658.46x = 160,697,356.66
  5. Step 5: Solve for x
    x = 160,697,356.66/14,658.46
  6. Step 6: Final answer
    x = 10,962.77

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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.