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Finding the Fourth Proportional to 7,672.61, 10,588.77 and 4,486.88

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Solution

The fourth proportional to 7,672.61, 10,588.77 and 4,486.88 is: 6,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.61 : 10,588.77 = 4,486.88 : x
  2. Step 2: Convert to fraction form
    7,672.61/10,588.77 = 4,486.88/x
  3. Step 3: Cross multiply
    7,672.61x = 10,588.77 × 4,486.88
  4. Step 4: Simplify right side
    7,672.61x = 47,510,487.39
  5. Step 5: Solve for x
    x = 47,510,487.39/7,672.61
  6. Step 6: Final answer
    x = 6,192.22

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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.