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Finding the Fourth Proportional to 9,893.68, 13,652.85 and 5,417.44

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Solution

The fourth proportional to 9,893.68, 13,652.85 and 5,417.44 is: 7,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.68 : 13,652.85 = 5,417.44 : x
  2. Step 2: Convert to fraction form
    9,893.68/13,652.85 = 5,417.44/x
  3. Step 3: Cross multiply
    9,893.68x = 13,652.85 × 5,417.44
  4. Step 4: Simplify right side
    9,893.68x = 73,963,495.70
  5. Step 5: Solve for x
    x = 73,963,495.70/9,893.68
  6. Step 6: Final answer
    x = 7,475.83

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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.