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Finding the Fourth Proportional to 17,062.96, 25,578 and 8,746.88

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Solution

The fourth proportional to 17,062.96, 25,578 and 8,746.88 is: 13,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,062.96 : 25,578 = 8,746.88 : x
  2. Step 2: Convert to fraction form
    17,062.96/25,578 = 8,746.88/x
  3. Step 3: Cross multiply
    17,062.96x = 25,578 × 8,746.88
  4. Step 4: Simplify right side
    17,062.96x = 223,727,696.64
  5. Step 5: Solve for x
    x = 223,727,696.64/17,062.96
  6. Step 6: Final answer
    x = 13,111.89

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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.