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Finding the Fourth Proportional to 8,046, 11,099.70 and 5,689.44

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Solution

The fourth proportional to 8,046, 11,099.70 and 5,689.44 is: 7,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046 : 11,099.70 = 5,689.44 : x
  2. Step 2: Convert to fraction form
    8,046/11,099.70 = 5,689.44/x
  3. Step 3: Cross multiply
    8,046x = 11,099.70 × 5,689.44
  4. Step 4: Simplify right side
    8,046x = 63,151,077.17
  5. Step 5: Solve for x
    x = 63,151,077.17/8,046
  6. Step 6: Final answer
    x = 7,848.75

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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.