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Finding the Fourth Proportional to 9,755.84, 14,643.36 and 7,151.36

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Solution

The fourth proportional to 9,755.84, 14,643.36 and 7,151.36 is: 10,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.84 : 14,643.36 = 7,151.36 : x
  2. Step 2: Convert to fraction form
    9,755.84/14,643.36 = 7,151.36/x
  3. Step 3: Cross multiply
    9,755.84x = 14,643.36 × 7,151.36
  4. Step 4: Simplify right side
    9,755.84x = 104,719,938.97
  5. Step 5: Solve for x
    x = 104,719,938.97/9,755.84
  6. Step 6: Final answer
    x = 10,734.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.