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Finding the Fourth Proportional to 7,834.48, 10,807.50 and 6,344.08

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Solution

The fourth proportional to 7,834.48, 10,807.50 and 6,344.08 is: 8,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.48 : 10,807.50 = 6,344.08 : x
  2. Step 2: Convert to fraction form
    7,834.48/10,807.50 = 6,344.08/x
  3. Step 3: Cross multiply
    7,834.48x = 10,807.50 × 6,344.08
  4. Step 4: Simplify right side
    7,834.48x = 68,563,644.60
  5. Step 5: Solve for x
    x = 68,563,644.60/7,834.48
  6. Step 6: Final answer
    x = 8,751.52

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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.