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Finding the Fourth Proportional to 12,602.88, 17,392.16 and 7,298.08

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Solution

The fourth proportional to 12,602.88, 17,392.16 and 7,298.08 is: 10,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.88 : 17,392.16 = 7,298.08 : x
  2. Step 2: Convert to fraction form
    12,602.88/17,392.16 = 7,298.08/x
  3. Step 3: Cross multiply
    12,602.88x = 17,392.16 × 7,298.08
  4. Step 4: Simplify right side
    12,602.88x = 126,929,375.05
  5. Step 5: Solve for x
    x = 126,929,375.05/12,602.88
  6. Step 6: Final answer
    x = 10,071.46

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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.