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Finding the Fourth Proportional to 12,281.04, 16,927.56 and 9,282.96

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Solution

The fourth proportional to 12,281.04, 16,927.56 and 9,282.96 is: 12,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.04 : 16,927.56 = 9,282.96 : x
  2. Step 2: Convert to fraction form
    12,281.04/16,927.56 = 9,282.96/x
  3. Step 3: Cross multiply
    12,281.04x = 16,927.56 × 9,282.96
  4. Step 4: Simplify right side
    12,281.04x = 157,137,862.38
  5. Step 5: Solve for x
    x = 157,137,862.38/12,281.04
  6. Step 6: Final answer
    x = 12,795.16

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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.