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Finding the Fourth Proportional to 9,117.80, 13,676.70 and 6,813.80

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Solution

The fourth proportional to 9,117.80, 13,676.70 and 6,813.80 is: 10,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.80 : 13,676.70 = 6,813.80 : x
  2. Step 2: Convert to fraction form
    9,117.80/13,676.70 = 6,813.80/x
  3. Step 3: Cross multiply
    9,117.80x = 13,676.70 × 6,813.80
  4. Step 4: Simplify right side
    9,117.80x = 93,190,298.46
  5. Step 5: Solve for x
    x = 93,190,298.46/9,117.80
  6. Step 6: Final answer
    x = 10,220.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.