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Finding the Fourth Proportional to 15,207.19, 22,823.07 and 6,448.25

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Solution

The fourth proportional to 15,207.19, 22,823.07 and 6,448.25 is: 9,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,207.19 : 22,823.07 = 6,448.25 : x
  2. Step 2: Convert to fraction form
    15,207.19/22,823.07 = 6,448.25/x
  3. Step 3: Cross multiply
    15,207.19x = 22,823.07 × 6,448.25
  4. Step 4: Simplify right side
    15,207.19x = 147,168,861.13
  5. Step 5: Solve for x
    x = 147,168,861.13/15,207.19
  6. Step 6: Final answer
    x = 9,677.58

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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.