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Finding the Fourth Proportional to 9,322.51, 12,866.83 and 5,966.75

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Solution

The fourth proportional to 9,322.51, 12,866.83 and 5,966.75 is: 8,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.51 : 12,866.83 = 5,966.75 : x
  2. Step 2: Convert to fraction form
    9,322.51/12,866.83 = 5,966.75/x
  3. Step 3: Cross multiply
    9,322.51x = 12,866.83 × 5,966.75
  4. Step 4: Simplify right side
    9,322.51x = 76,773,157.90
  5. Step 5: Solve for x
    x = 76,773,157.90/9,322.51
  6. Step 6: Final answer
    x = 8,235.25

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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.