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Finding the Fourth Proportional to 16,574.76, 22,865.45 and 9,856.62

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Solution

The fourth proportional to 16,574.76, 22,865.45 and 9,856.62 is: 13,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.76 : 22,865.45 = 9,856.62 : x
  2. Step 2: Convert to fraction form
    16,574.76/22,865.45 = 9,856.62/x
  3. Step 3: Cross multiply
    16,574.76x = 22,865.45 × 9,856.62
  4. Step 4: Simplify right side
    16,574.76x = 225,376,002.50
  5. Step 5: Solve for x
    x = 225,376,002.50/16,574.76
  6. Step 6: Final answer
    x = 13,597.54

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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.