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Finding the Fourth Proportional to 9,893.62, 13,652.88 and 5,417.26

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Solution

The fourth proportional to 9,893.62, 13,652.88 and 5,417.26 is: 7,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.62 : 13,652.88 = 5,417.26 : x
  2. Step 2: Convert to fraction form
    9,893.62/13,652.88 = 5,417.26/x
  3. Step 3: Cross multiply
    9,893.62x = 13,652.88 × 5,417.26
  4. Step 4: Simplify right side
    9,893.62x = 73,961,200.71
  5. Step 5: Solve for x
    x = 73,961,200.71/9,893.62
  6. Step 6: Final answer
    x = 7,475.65

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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.