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Finding the Fourth Proportional to 9,703.80, 13,390.85 and 5,933.32

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Solution

The fourth proportional to 9,703.80, 13,390.85 and 5,933.32 is: 8,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.80 : 13,390.85 = 5,933.32 : x
  2. Step 2: Convert to fraction form
    9,703.80/13,390.85 = 5,933.32/x
  3. Step 3: Cross multiply
    9,703.80x = 13,390.85 × 5,933.32
  4. Step 4: Simplify right side
    9,703.80x = 79,452,179.48
  5. Step 5: Solve for x
    x = 79,452,179.48/9,703.80
  6. Step 6: Final answer
    x = 8,187.74

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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.