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Finding the Fourth Proportional to 11,447.64, 15,794.52 and 6,971.52

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Solution

The fourth proportional to 11,447.64, 15,794.52 and 6,971.52 is: 9,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.64 : 15,794.52 = 6,971.52 : x
  2. Step 2: Convert to fraction form
    11,447.64/15,794.52 = 6,971.52/x
  3. Step 3: Cross multiply
    11,447.64x = 15,794.52 × 6,971.52
  4. Step 4: Simplify right side
    11,447.64x = 110,111,812.07
  5. Step 5: Solve for x
    x = 110,111,812.07/11,447.64
  6. Step 6: Final answer
    x = 9,618.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.