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Finding the Fourth Proportional to 12,802.94, 17,669.44 and 7,502.20

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Solution

The fourth proportional to 12,802.94, 17,669.44 and 7,502.20 is: 10,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.94 : 17,669.44 = 7,502.20 : x
  2. Step 2: Convert to fraction form
    12,802.94/17,669.44 = 7,502.20/x
  3. Step 3: Cross multiply
    12,802.94x = 17,669.44 × 7,502.20
  4. Step 4: Simplify right side
    12,802.94x = 132,559,672.77
  5. Step 5: Solve for x
    x = 132,559,672.77/12,802.94
  6. Step 6: Final answer
    x = 10,353.85

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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.