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Finding the Fourth Proportional to 9,853.74, 13,599.85 and 9,410.86

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Solution

The fourth proportional to 9,853.74, 13,599.85 and 9,410.86 is: 12,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.74 : 13,599.85 = 9,410.86 : x
  2. Step 2: Convert to fraction form
    9,853.74/13,599.85 = 9,410.86/x
  3. Step 3: Cross multiply
    9,853.74x = 13,599.85 × 9,410.86
  4. Step 4: Simplify right side
    9,853.74x = 127,986,284.37
  5. Step 5: Solve for x
    x = 127,986,284.37/9,853.74
  6. Step 6: Final answer
    x = 12,988.60

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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.