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Finding the Fourth Proportional to 8,266.64, 11,412.42 and 6,374.08

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Solution

The fourth proportional to 8,266.64, 11,412.42 and 6,374.08 is: 8,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.64 : 11,412.42 = 6,374.08 : x
  2. Step 2: Convert to fraction form
    8,266.64/11,412.42 = 6,374.08/x
  3. Step 3: Cross multiply
    8,266.64x = 11,412.42 × 6,374.08
  4. Step 4: Simplify right side
    8,266.64x = 72,743,678.07
  5. Step 5: Solve for x
    x = 72,743,678.07/8,266.64
  6. Step 6: Final answer
    x = 8,799.67

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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.