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Finding the Fourth Proportional to 12,293.18, 16,959.78 and 7,569.26

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Solution

The fourth proportional to 12,293.18, 16,959.78 and 7,569.26 is: 10,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.18 : 16,959.78 = 7,569.26 : x
  2. Step 2: Convert to fraction form
    12,293.18/16,959.78 = 7,569.26/x
  3. Step 3: Cross multiply
    12,293.18x = 16,959.78 × 7,569.26
  4. Step 4: Simplify right side
    12,293.18x = 128,372,984.36
  5. Step 5: Solve for x
    x = 128,372,984.36/12,293.18
  6. Step 6: Final answer
    x = 10,442.62

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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.