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Finding the Fourth Proportional to 9,750.64, 13,462.02 and 7,508.29

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Solution

The fourth proportional to 9,750.64, 13,462.02 and 7,508.29 is: 10,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.64 : 13,462.02 = 7,508.29 : x
  2. Step 2: Convert to fraction form
    9,750.64/13,462.02 = 7,508.29/x
  3. Step 3: Cross multiply
    9,750.64x = 13,462.02 × 7,508.29
  4. Step 4: Simplify right side
    9,750.64x = 101,076,750.15
  5. Step 5: Solve for x
    x = 101,076,750.15/9,750.64
  6. Step 6: Final answer
    x = 10,366.17

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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.