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Finding the Fourth Proportional to 9,754.66, 13,457.28 and 6,217.12

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Solution

The fourth proportional to 9,754.66, 13,457.28 and 6,217.12 is: 8,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.66 : 13,457.28 = 6,217.12 : x
  2. Step 2: Convert to fraction form
    9,754.66/13,457.28 = 6,217.12/x
  3. Step 3: Cross multiply
    9,754.66x = 13,457.28 × 6,217.12
  4. Step 4: Simplify right side
    9,754.66x = 83,665,524.63
  5. Step 5: Solve for x
    x = 83,665,524.63/9,754.66
  6. Step 6: Final answer
    x = 8,576.98

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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.