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Finding the Fourth Proportional to 6,500.07, 9,751.13 and 2,803.35

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Solution

The fourth proportional to 6,500.07, 9,751.13 and 2,803.35 is: 4,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.07 : 9,751.13 = 2,803.35 : x
  2. Step 2: Convert to fraction form
    6,500.07/9,751.13 = 2,803.35/x
  3. Step 3: Cross multiply
    6,500.07x = 9,751.13 × 2,803.35
  4. Step 4: Simplify right side
    6,500.07x = 27,335,816.27
  5. Step 5: Solve for x
    x = 27,335,816.27/6,500.07
  6. Step 6: Final answer
    x = 4,205.46

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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.