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Finding the Fourth Proportional to 9,703.26, 13,385.43 and 6,385.50

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Solution

The fourth proportional to 9,703.26, 13,385.43 and 6,385.50 is: 8,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.26 : 13,385.43 = 6,385.50 : x
  2. Step 2: Convert to fraction form
    9,703.26/13,385.43 = 6,385.50/x
  3. Step 3: Cross multiply
    9,703.26x = 13,385.43 × 6,385.50
  4. Step 4: Simplify right side
    9,703.26x = 85,472,663.27
  5. Step 5: Solve for x
    x = 85,472,663.27/9,703.26
  6. Step 6: Final answer
    x = 8,808.65

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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.