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Finding the Fourth Proportional to 9,701.80, 13,374.36 and 7,713.16

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Solution

The fourth proportional to 9,701.80, 13,374.36 and 7,713.16 is: 10,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.80 : 13,374.36 = 7,713.16 : x
  2. Step 2: Convert to fraction form
    9,701.80/13,374.36 = 7,713.16/x
  3. Step 3: Cross multiply
    9,701.80x = 13,374.36 × 7,713.16
  4. Step 4: Simplify right side
    9,701.80x = 103,158,578.58
  5. Step 5: Solve for x
    x = 103,158,578.58/9,701.80
  6. Step 6: Final answer
    x = 10,632.93

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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.