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Finding the Fourth Proportional to 9,616.64, 13,246.08 and 8,971.52

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Solution

The fourth proportional to 9,616.64, 13,246.08 and 8,971.52 is: 12,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.64 : 13,246.08 = 8,971.52 : x
  2. Step 2: Convert to fraction form
    9,616.64/13,246.08 = 8,971.52/x
  3. Step 3: Cross multiply
    9,616.64x = 13,246.08 × 8,971.52
  4. Step 4: Simplify right side
    9,616.64x = 118,837,471.64
  5. Step 5: Solve for x
    x = 118,837,471.64/9,616.64
  6. Step 6: Final answer
    x = 12,357.48

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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.