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Finding the Fourth Proportional to 7,834.88, 10,810.80 and 5,180.87

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Solution

The fourth proportional to 7,834.88, 10,810.80 and 5,180.87 is: 7,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.88 : 10,810.80 = 5,180.87 : x
  2. Step 2: Convert to fraction form
    7,834.88/10,810.80 = 5,180.87/x
  3. Step 3: Cross multiply
    7,834.88x = 10,810.80 × 5,180.87
  4. Step 4: Simplify right side
    7,834.88x = 56,009,295.34
  5. Step 5: Solve for x
    x = 56,009,295.34/7,834.88
  6. Step 6: Final answer
    x = 7,148.72

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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.