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Finding the Fourth Proportional to 15,307.97, 22,971.74 and 9,765.27

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Solution

The fourth proportional to 15,307.97, 22,971.74 and 9,765.27 is: 14,654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,307.97 : 22,971.74 = 9,765.27 : x
  2. Step 2: Convert to fraction form
    15,307.97/22,971.74 = 9,765.27/x
  3. Step 3: Cross multiply
    15,307.97x = 22,971.74 × 9,765.27
  4. Step 4: Simplify right side
    15,307.97x = 224,325,194.64
  5. Step 5: Solve for x
    x = 224,325,194.64/15,307.97
  6. Step 6: Final answer
    x = 14,654.15

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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.