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Finding the Fourth Proportional to 7,083.84, 9,755.28 and 7,062.24

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Solution

The fourth proportional to 7,083.84, 9,755.28 and 7,062.24 is: 9,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.84 : 9,755.28 = 7,062.24 : x
  2. Step 2: Convert to fraction form
    7,083.84/9,755.28 = 7,062.24/x
  3. Step 3: Cross multiply
    7,083.84x = 9,755.28 × 7,062.24
  4. Step 4: Simplify right side
    7,083.84x = 68,894,128.63
  5. Step 5: Solve for x
    x = 68,894,128.63/7,083.84
  6. Step 6: Final answer
    x = 9,725.53

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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.