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Finding the Fourth Proportional to 9,867.51, 13,608.68 and 8,792.24

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Solution

The fourth proportional to 9,867.51, 13,608.68 and 8,792.24 is: 12,125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.51 : 13,608.68 = 8,792.24 : x
  2. Step 2: Convert to fraction form
    9,867.51/13,608.68 = 8,792.24/x
  3. Step 3: Cross multiply
    9,867.51x = 13,608.68 × 8,792.24
  4. Step 4: Simplify right side
    9,867.51x = 119,650,668.64
  5. Step 5: Solve for x
    x = 119,650,668.64/9,867.51
  6. Step 6: Final answer
    x = 12,125.72

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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.