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Finding the Fourth Proportional to 8,602.84, 11,869.28 and 5,573.16

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Solution

The fourth proportional to 8,602.84, 11,869.28 and 5,573.16 is: 7,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.84 : 11,869.28 = 5,573.16 : x
  2. Step 2: Convert to fraction form
    8,602.84/11,869.28 = 5,573.16/x
  3. Step 3: Cross multiply
    8,602.84x = 11,869.28 × 5,573.16
  4. Step 4: Simplify right side
    8,602.84x = 66,149,396.52
  5. Step 5: Solve for x
    x = 66,149,396.52/8,602.84
  6. Step 6: Final answer
    x = 7,689.25

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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.