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Finding the Fourth Proportional to 16,302.60, 22,496.40 and 9,228.60

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Solution

The fourth proportional to 16,302.60, 22,496.40 and 9,228.60 is: 12,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.60 : 22,496.40 = 9,228.60 : x
  2. Step 2: Convert to fraction form
    16,302.60/22,496.40 = 9,228.60/x
  3. Step 3: Cross multiply
    16,302.60x = 22,496.40 × 9,228.60
  4. Step 4: Simplify right side
    16,302.60x = 207,610,277.04
  5. Step 5: Solve for x
    x = 207,610,277.04/16,302.60
  6. Step 6: Final answer
    x = 12,734.80

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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.