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Finding the Fourth Proportional to 11,573.59, 15,971.57 and 6,268.40

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Solution

The fourth proportional to 11,573.59, 15,971.57 and 6,268.40 is: 8,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.59 : 15,971.57 = 6,268.40 : x
  2. Step 2: Convert to fraction form
    11,573.59/15,971.57 = 6,268.40/x
  3. Step 3: Cross multiply
    11,573.59x = 15,971.57 × 6,268.40
  4. Step 4: Simplify right side
    11,573.59x = 100,116,158.05
  5. Step 5: Solve for x
    x = 100,116,158.05/11,573.59
  6. Step 6: Final answer
    x = 8,650.40

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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.