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Finding the Fourth Proportional to 9,282.74, 12,807.08 and 5,507.09

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Solution

The fourth proportional to 9,282.74, 12,807.08 and 5,507.09 is: 7,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.74 : 12,807.08 = 5,507.09 : x
  2. Step 2: Convert to fraction form
    9,282.74/12,807.08 = 5,507.09/x
  3. Step 3: Cross multiply
    9,282.74x = 12,807.08 × 5,507.09
  4. Step 4: Simplify right side
    9,282.74x = 70,529,719.30
  5. Step 5: Solve for x
    x = 70,529,719.30/9,282.74
  6. Step 6: Final answer
    x = 7,597.95

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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.