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Finding the Fourth Proportional to 9,966.77, 13,752.11 and 7,576.10

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Solution

The fourth proportional to 9,966.77, 13,752.11 and 7,576.10 is: 10,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.77 : 13,752.11 = 7,576.10 : x
  2. Step 2: Convert to fraction form
    9,966.77/13,752.11 = 7,576.10/x
  3. Step 3: Cross multiply
    9,966.77x = 13,752.11 × 7,576.10
  4. Step 4: Simplify right side
    9,966.77x = 104,187,362.32
  5. Step 5: Solve for x
    x = 104,187,362.32/9,966.77
  6. Step 6: Final answer
    x = 10,453.47

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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.