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Finding the Fourth Proportional to 9,754.84, 13,461.96 and 5,563

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Solution

The fourth proportional to 9,754.84, 13,461.96 and 5,563 is: 7,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.84 : 13,461.96 = 5,563 : x
  2. Step 2: Convert to fraction form
    9,754.84/13,461.96 = 5,563/x
  3. Step 3: Cross multiply
    9,754.84x = 13,461.96 × 5,563
  4. Step 4: Simplify right side
    9,754.84x = 74,888,883.48
  5. Step 5: Solve for x
    x = 74,888,883.48/9,754.84
  6. Step 6: Final answer
    x = 7,677.10

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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.