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Finding the Fourth Proportional to 9,702.62, 13,394.93 and 5,926.67

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Solution

The fourth proportional to 9,702.62, 13,394.93 and 5,926.67 is: 8,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.62 : 13,394.93 = 5,926.67 : x
  2. Step 2: Convert to fraction form
    9,702.62/13,394.93 = 5,926.67/x
  3. Step 3: Cross multiply
    9,702.62x = 13,394.93 × 5,926.67
  4. Step 4: Simplify right side
    9,702.62x = 79,387,233.18
  5. Step 5: Solve for x
    x = 79,387,233.18/9,702.62
  6. Step 6: Final answer
    x = 8,182.05

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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.