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Finding the Fourth Proportional to 16,582.96, 22,884.96 and 9,510.76

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Solution

The fourth proportional to 16,582.96, 22,884.96 and 9,510.76 is: 13,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.96 : 22,884.96 = 9,510.76 : x
  2. Step 2: Convert to fraction form
    16,582.96/22,884.96 = 9,510.76/x
  3. Step 3: Cross multiply
    16,582.96x = 22,884.96 × 9,510.76
  4. Step 4: Simplify right side
    16,582.96x = 217,653,362.17
  5. Step 5: Solve for x
    x = 217,653,362.17/16,582.96
  6. Step 6: Final answer
    x = 13,125.12

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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.