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Finding the Fourth Proportional to 10,524.71, 14,523.74 and 6,273.57

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Solution

The fourth proportional to 10,524.71, 14,523.74 and 6,273.57 is: 8,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.71 : 14,523.74 = 6,273.57 : x
  2. Step 2: Convert to fraction form
    10,524.71/14,523.74 = 6,273.57/x
  3. Step 3: Cross multiply
    10,524.71x = 14,523.74 × 6,273.57
  4. Step 4: Simplify right side
    10,524.71x = 91,115,746.17
  5. Step 5: Solve for x
    x = 91,115,746.17/10,524.71
  6. Step 6: Final answer
    x = 8,657.31

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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.