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Finding the Fourth Proportional to 9,754.24, 14,598.96 and 7,797.28

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Solution

The fourth proportional to 9,754.24, 14,598.96 and 7,797.28 is: 11,670.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.24 : 14,598.96 = 7,797.28 : x
  2. Step 2: Convert to fraction form
    9,754.24/14,598.96 = 7,797.28/x
  3. Step 3: Cross multiply
    9,754.24x = 14,598.96 × 7,797.28
  4. Step 4: Simplify right side
    9,754.24x = 113,832,178.83
  5. Step 5: Solve for x
    x = 113,832,178.83/9,754.24
  6. Step 6: Final answer
    x = 11,670.02

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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.