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Finding the Fourth Proportional to 9,701.43, 13,389.53 and 9,068.26

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Solution

The fourth proportional to 9,701.43, 13,389.53 and 9,068.26 is: 12,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.43 : 13,389.53 = 9,068.26 : x
  2. Step 2: Convert to fraction form
    9,701.43/13,389.53 = 9,068.26/x
  3. Step 3: Cross multiply
    9,701.43x = 13,389.53 × 9,068.26
  4. Step 4: Simplify right side
    9,701.43x = 121,419,739.32
  5. Step 5: Solve for x
    x = 121,419,739.32/9,701.43
  6. Step 6: Final answer
    x = 12,515.65

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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.