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Finding the Fourth Proportional to 4,507.74, 6,765.12 and 2,947.32

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Solution

The fourth proportional to 4,507.74, 6,765.12 and 2,947.32 is: 4,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.74 : 6,765.12 = 2,947.32 : x
  2. Step 2: Convert to fraction form
    4,507.74/6,765.12 = 2,947.32/x
  3. Step 3: Cross multiply
    4,507.74x = 6,765.12 × 2,947.32
  4. Step 4: Simplify right side
    4,507.74x = 19,938,973.48
  5. Step 5: Solve for x
    x = 19,938,973.48/4,507.74
  6. Step 6: Final answer
    x = 4,423.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.