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Finding the Fourth Proportional to 9,594.69, 14,390.91 and 2,575.23

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Solution

The fourth proportional to 9,594.69, 14,390.91 and 2,575.23 is: 3,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.69 : 14,390.91 = 2,575.23 : x
  2. Step 2: Convert to fraction form
    9,594.69/14,390.91 = 2,575.23/x
  3. Step 3: Cross multiply
    9,594.69x = 14,390.91 × 2,575.23
  4. Step 4: Simplify right side
    9,594.69x = 37,059,903.16
  5. Step 5: Solve for x
    x = 37,059,903.16/9,594.69
  6. Step 6: Final answer
    x = 3,862.54

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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.