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Finding the Fourth Proportional to 11,573.72, 15,971.64 and 6,860.24

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Solution

The fourth proportional to 11,573.72, 15,971.64 and 6,860.24 is: 9,467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.72 : 15,971.64 = 6,860.24 : x
  2. Step 2: Convert to fraction form
    11,573.72/15,971.64 = 6,860.24/x
  3. Step 3: Cross multiply
    11,573.72x = 15,971.64 × 6,860.24
  4. Step 4: Simplify right side
    11,573.72x = 109,569,283.59
  5. Step 5: Solve for x
    x = 109,569,283.59/11,573.72
  6. Step 6: Final answer
    x = 9,467.08

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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.