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Finding the Fourth Proportional to 10,813.56, 16,220.34 and 4,657.56

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Solution

The fourth proportional to 10,813.56, 16,220.34 and 4,657.56 is: 6,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.56 : 16,220.34 = 4,657.56 : x
  2. Step 2: Convert to fraction form
    10,813.56/16,220.34 = 4,657.56/x
  3. Step 3: Cross multiply
    10,813.56x = 16,220.34 × 4,657.56
  4. Step 4: Simplify right side
    10,813.56x = 75,547,206.77
  5. Step 5: Solve for x
    x = 75,547,206.77/10,813.56
  6. Step 6: Final answer
    x = 6,986.34

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Similar ratio
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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.