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Finding the Fourth Proportional to 7,064.31, 9,750.09 and 4,674.33

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Solution

The fourth proportional to 7,064.31, 9,750.09 and 4,674.33 is: 6,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.31 : 9,750.09 = 4,674.33 : x
  2. Step 2: Convert to fraction form
    7,064.31/9,750.09 = 4,674.33/x
  3. Step 3: Cross multiply
    7,064.31x = 9,750.09 × 4,674.33
  4. Step 4: Simplify right side
    7,064.31x = 45,575,138.19
  5. Step 5: Solve for x
    x = 45,575,138.19/7,064.31
  6. Step 6: Final answer
    x = 6,451.46

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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.