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Finding the Fourth Proportional to 7,047.76, 10,569.48 and 5,657.80

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Solution

The fourth proportional to 7,047.76, 10,569.48 and 5,657.80 is: 8,484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.76 : 10,569.48 = 5,657.80 : x
  2. Step 2: Convert to fraction form
    7,047.76/10,569.48 = 5,657.80/x
  3. Step 3: Cross multiply
    7,047.76x = 10,569.48 × 5,657.80
  4. Step 4: Simplify right side
    7,047.76x = 59,800,003.94
  5. Step 5: Solve for x
    x = 59,800,003.94/7,047.76
  6. Step 6: Final answer
    x = 8,484.97

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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.