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Finding the Fourth Proportional to 9,863.64, 14,788.14 and 5,967.12

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Solution

The fourth proportional to 9,863.64, 14,788.14 and 5,967.12 is: 8,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.64 : 14,788.14 = 5,967.12 : x
  2. Step 2: Convert to fraction form
    9,863.64/14,788.14 = 5,967.12/x
  3. Step 3: Cross multiply
    9,863.64x = 14,788.14 × 5,967.12
  4. Step 4: Simplify right side
    9,863.64x = 88,242,605.96
  5. Step 5: Solve for x
    x = 88,242,605.96/9,863.64
  6. Step 6: Final answer
    x = 8,946.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.