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Finding the Fourth Proportional to 4,764.04, 6,574.16 and 2,774.48

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Solution

The fourth proportional to 4,764.04, 6,574.16 and 2,774.48 is: 3,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.04 : 6,574.16 = 2,774.48 : x
  2. Step 2: Convert to fraction form
    4,764.04/6,574.16 = 2,774.48/x
  3. Step 3: Cross multiply
    4,764.04x = 6,574.16 × 2,774.48
  4. Step 4: Simplify right side
    4,764.04x = 18,239,849.50
  5. Step 5: Solve for x
    x = 18,239,849.50/4,764.04
  6. Step 6: Final answer
    x = 3,828.65

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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.