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Finding the Fourth Proportional to 11,573.55, 15,971.24 and 6,539.40

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Solution

The fourth proportional to 11,573.55, 15,971.24 and 6,539.40 is: 9,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.55 : 15,971.24 = 6,539.40 : x
  2. Step 2: Convert to fraction form
    11,573.55/15,971.24 = 6,539.40/x
  3. Step 3: Cross multiply
    11,573.55x = 15,971.24 × 6,539.40
  4. Step 4: Simplify right side
    11,573.55x = 104,442,294.16
  5. Step 5: Solve for x
    x = 104,442,294.16/11,573.55
  6. Step 6: Final answer
    x = 9,024.22

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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.