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Finding the Fourth Proportional to 12,597.74, 17,388.03 and 7,295.78

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Solution

The fourth proportional to 12,597.74, 17,388.03 and 7,295.78 is: 10,070.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.74 : 17,388.03 = 7,295.78 : x
  2. Step 2: Convert to fraction form
    12,597.74/17,388.03 = 7,295.78/x
  3. Step 3: Cross multiply
    12,597.74x = 17,388.03 × 7,295.78
  4. Step 4: Simplify right side
    12,597.74x = 126,859,241.51
  5. Step 5: Solve for x
    x = 126,859,241.51/12,597.74
  6. Step 6: Final answer
    x = 10,070.00

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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.