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Finding the Fourth Proportional to 9,702.13, 13,388.93 and 5,286.13

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Solution

The fourth proportional to 9,702.13, 13,388.93 and 5,286.13 is: 7,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.13 : 13,388.93 = 5,286.13 : x
  2. Step 2: Convert to fraction form
    9,702.13/13,388.93 = 5,286.13/x
  3. Step 3: Cross multiply
    9,702.13x = 13,388.93 × 5,286.13
  4. Step 4: Simplify right side
    9,702.13x = 70,775,570.81
  5. Step 5: Solve for x
    x = 70,775,570.81/9,702.13
  6. Step 6: Final answer
    x = 7,294.85

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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.