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Finding the Fourth Proportional to 11,648.96, 17,460.86 and 5,718.93

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Solution

The fourth proportional to 11,648.96, 17,460.86 and 5,718.93 is: 8,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.96 : 17,460.86 = 5,718.93 : x
  2. Step 2: Convert to fraction form
    11,648.96/17,460.86 = 5,718.93/x
  3. Step 3: Cross multiply
    11,648.96x = 17,460.86 × 5,718.93
  4. Step 4: Simplify right side
    11,648.96x = 99,857,407.49
  5. Step 5: Solve for x
    x = 99,857,407.49/11,648.96
  6. Step 6: Final answer
    x = 8,572.22

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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.