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Finding the Fourth Proportional to 9,703.32, 13,392.12 and 5,928.72

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Solution

The fourth proportional to 9,703.32, 13,392.12 and 5,928.72 is: 8,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.32 : 13,392.12 = 5,928.72 : x
  2. Step 2: Convert to fraction form
    9,703.32/13,392.12 = 5,928.72/x
  3. Step 3: Cross multiply
    9,703.32x = 13,392.12 × 5,928.72
  4. Step 4: Simplify right side
    9,703.32x = 79,398,129.69
  5. Step 5: Solve for x
    x = 79,398,129.69/9,703.32
  6. Step 6: Final answer
    x = 8,182.57

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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.