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Finding the Fourth Proportional to 9,754.74, 14,599.71 and 7,797.78

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Solution

The fourth proportional to 9,754.74, 14,599.71 and 7,797.78 is: 11,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.74 : 14,599.71 = 7,797.78 : x
  2. Step 2: Convert to fraction form
    9,754.74/14,599.71 = 7,797.78/x
  3. Step 3: Cross multiply
    9,754.74x = 14,599.71 × 7,797.78
  4. Step 4: Simplify right side
    9,754.74x = 113,845,326.64
  5. Step 5: Solve for x
    x = 113,845,326.64/9,754.74
  6. Step 6: Final answer
    x = 11,670.77

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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.