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Finding the Fourth Proportional to 9,853.76, 13,599.96 and 5,661.92

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Solution

The fourth proportional to 9,853.76, 13,599.96 and 5,661.92 is: 7,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.76 : 13,599.96 = 5,661.92 : x
  2. Step 2: Convert to fraction form
    9,853.76/13,599.96 = 5,661.92/x
  3. Step 3: Cross multiply
    9,853.76x = 13,599.96 × 5,661.92
  4. Step 4: Simplify right side
    9,853.76x = 77,001,885.52
  5. Step 5: Solve for x
    x = 77,001,885.52/9,853.76
  6. Step 6: Final answer
    x = 7,814.47

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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.