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Finding the Fourth Proportional to 7,803.47, 11,703.46 and 2,255.58

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Solution

The fourth proportional to 7,803.47, 11,703.46 and 2,255.58 is: 3,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.47 : 11,703.46 = 2,255.58 : x
  2. Step 2: Convert to fraction form
    7,803.47/11,703.46 = 2,255.58/x
  3. Step 3: Cross multiply
    7,803.47x = 11,703.46 × 2,255.58
  4. Step 4: Simplify right side
    7,803.47x = 26,398,090.31
  5. Step 5: Solve for x
    x = 26,398,090.31/7,803.47
  6. Step 6: Final answer
    x = 3,382.87

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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.