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Finding the Fourth Proportional to 6,674.63, 9,200.38 and 5,256.07

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Solution

The fourth proportional to 6,674.63, 9,200.38 and 5,256.07 is: 7,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.63 : 9,200.38 = 5,256.07 : x
  2. Step 2: Convert to fraction form
    6,674.63/9,200.38 = 5,256.07/x
  3. Step 3: Cross multiply
    6,674.63x = 9,200.38 × 5,256.07
  4. Step 4: Simplify right side
    6,674.63x = 48,357,805.17
  5. Step 5: Solve for x
    x = 48,357,805.17/6,674.63
  6. Step 6: Final answer
    x = 7,245.02

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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.