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Finding the Fourth Proportional to 8,648.84, 11,941.10 and 6,655.88

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Solution

The fourth proportional to 8,648.84, 11,941.10 and 6,655.88 is: 9,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.84 : 11,941.10 = 6,655.88 : x
  2. Step 2: Convert to fraction form
    8,648.84/11,941.10 = 6,655.88/x
  3. Step 3: Cross multiply
    8,648.84x = 11,941.10 × 6,655.88
  4. Step 4: Simplify right side
    8,648.84x = 79,478,528.67
  5. Step 5: Solve for x
    x = 79,478,528.67/8,648.84
  6. Step 6: Final answer
    x = 9,189.50

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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.