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Finding the Fourth Proportional to 12,291.30, 16,957.62 and 7,253.00

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Solution

The fourth proportional to 12,291.30, 16,957.62 and 7,253.00 is: 10,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.30 : 16,957.62 = 7,253.00 : x
  2. Step 2: Convert to fraction form
    12,291.30/16,957.62 = 7,253.00/x
  3. Step 3: Cross multiply
    12,291.30x = 16,957.62 × 7,253.00
  4. Step 4: Simplify right side
    12,291.30x = 122,993,596.66
  5. Step 5: Solve for x
    x = 122,993,596.66/12,291.30
  6. Step 6: Final answer
    x = 10,006.56

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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.