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Finding the Fourth Proportional to 16,568.64, 22,866.24 and 9,117.12

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Solution

The fourth proportional to 16,568.64, 22,866.24 and 9,117.12 is: 12,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,568.64 : 22,866.24 = 9,117.12 : x
  2. Step 2: Convert to fraction form
    16,568.64/22,866.24 = 9,117.12/x
  3. Step 3: Cross multiply
    16,568.64x = 22,866.24 × 9,117.12
  4. Step 4: Simplify right side
    16,568.64x = 208,474,254.03
  5. Step 5: Solve for x
    x = 208,474,254.03/16,568.64
  6. Step 6: Final answer
    x = 12,582.46

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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.