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Finding the Fourth Proportional to 16,970.76, 25,456.14 and 4,658.76

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Solution

The fourth proportional to 16,970.76, 25,456.14 and 4,658.76 is: 6,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.76 : 25,456.14 = 4,658.76 : x
  2. Step 2: Convert to fraction form
    16,970.76/25,456.14 = 4,658.76/x
  3. Step 3: Cross multiply
    16,970.76x = 25,456.14 × 4,658.76
  4. Step 4: Simplify right side
    16,970.76x = 118,594,046.79
  5. Step 5: Solve for x
    x = 118,594,046.79/16,970.76
  6. Step 6: Final answer
    x = 6,988.14

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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.