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Finding the Fourth Proportional to 9,178.84, 12,663.84 and 5,199.58

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Solution

The fourth proportional to 9,178.84, 12,663.84 and 5,199.58 is: 7,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.84 : 12,663.84 = 5,199.58 : x
  2. Step 2: Convert to fraction form
    9,178.84/12,663.84 = 5,199.58/x
  3. Step 3: Cross multiply
    9,178.84x = 12,663.84 × 5,199.58
  4. Step 4: Simplify right side
    9,178.84x = 65,846,649.19
  5. Step 5: Solve for x
    x = 65,846,649.19/9,178.84
  6. Step 6: Final answer
    x = 7,173.74

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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.