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Finding the Fourth Proportional to 9,703.68, 13,391.37 and 5,927.46

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Solution

The fourth proportional to 9,703.68, 13,391.37 and 5,927.46 is: 8,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.68 : 13,391.37 = 5,927.46 : x
  2. Step 2: Convert to fraction form
    9,703.68/13,391.37 = 5,927.46/x
  3. Step 3: Cross multiply
    9,703.68x = 13,391.37 × 5,927.46
  4. Step 4: Simplify right side
    9,703.68x = 79,376,810.02
  5. Step 5: Solve for x
    x = 79,376,810.02/9,703.68
  6. Step 6: Final answer
    x = 8,180.07

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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.