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Finding the Fourth Proportional to 9,594.75, 14,398.65 and 3,438.75

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Solution

The fourth proportional to 9,594.75, 14,398.65 and 3,438.75 is: 5,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.75 : 14,398.65 = 3,438.75 : x
  2. Step 2: Convert to fraction form
    9,594.75/14,398.65 = 3,438.75/x
  3. Step 3: Cross multiply
    9,594.75x = 14,398.65 × 3,438.75
  4. Step 4: Simplify right side
    9,594.75x = 49,513,357.69
  5. Step 5: Solve for x
    x = 49,513,357.69/9,594.75
  6. Step 6: Final answer
    x = 5,160.46

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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.