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Finding the Fourth Proportional to 10,522.54, 14,513.07 and 6,543.82

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Solution

The fourth proportional to 10,522.54, 14,513.07 and 6,543.82 is: 9,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.54 : 14,513.07 = 6,543.82 : x
  2. Step 2: Convert to fraction form
    10,522.54/14,513.07 = 6,543.82/x
  3. Step 3: Cross multiply
    10,522.54x = 14,513.07 × 6,543.82
  4. Step 4: Simplify right side
    10,522.54x = 94,970,917.73
  5. Step 5: Solve for x
    x = 94,970,917.73/10,522.54
  6. Step 6: Final answer
    x = 9,025.47

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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.