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Finding the Fourth Proportional to 15,703.25, 23,565.68 and 6,469.25

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Solution

The fourth proportional to 15,703.25, 23,565.68 and 6,469.25 is: 9,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.25 : 23,565.68 = 6,469.25 : x
  2. Step 2: Convert to fraction form
    15,703.25/23,565.68 = 6,469.25/x
  3. Step 3: Cross multiply
    15,703.25x = 23,565.68 × 6,469.25
  4. Step 4: Simplify right side
    15,703.25x = 152,452,242.99
  5. Step 5: Solve for x
    x = 152,452,242.99/15,703.25
  6. Step 6: Final answer
    x = 9,708.32

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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.