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Finding the Fourth Proportional to 8,343.71, 11,506.52 and 5,655.32

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Solution

The fourth proportional to 8,343.71, 11,506.52 and 5,655.32 is: 7,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.71 : 11,506.52 = 5,655.32 : x
  2. Step 2: Convert to fraction form
    8,343.71/11,506.52 = 5,655.32/x
  3. Step 3: Cross multiply
    8,343.71x = 11,506.52 × 5,655.32
  4. Step 4: Simplify right side
    8,343.71x = 65,073,024.41
  5. Step 5: Solve for x
    x = 65,073,024.41/8,343.71
  6. Step 6: Final answer
    x = 7,799.05

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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.