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Finding the Fourth Proportional to 9,754.66, 14,631.99 and 4,564.18

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Solution

The fourth proportional to 9,754.66, 14,631.99 and 4,564.18 is: 6,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.66 : 14,631.99 = 4,564.18 : x
  2. Step 2: Convert to fraction form
    9,754.66/14,631.99 = 4,564.18/x
  3. Step 3: Cross multiply
    9,754.66x = 14,631.99 × 4,564.18
  4. Step 4: Simplify right side
    9,754.66x = 66,783,036.12
  5. Step 5: Solve for x
    x = 66,783,036.12/9,754.66
  6. Step 6: Final answer
    x = 6,846.27

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Similar ratio
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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.