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Finding the Fourth Proportional to 8,342.84, 12,525.30 and 7,655.24

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Solution

The fourth proportional to 8,342.84, 12,525.30 and 7,655.24 is: 11,492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.84 : 12,525.30 = 7,655.24 : x
  2. Step 2: Convert to fraction form
    8,342.84/12,525.30 = 7,655.24/x
  3. Step 3: Cross multiply
    8,342.84x = 12,525.30 × 7,655.24
  4. Step 4: Simplify right side
    8,342.84x = 95,884,177.57
  5. Step 5: Solve for x
    x = 95,884,177.57/8,342.84
  6. Step 6: Final answer
    x = 11,492.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.