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Finding the Fourth Proportional to 4,572.76, 6,314.16 and 2,805.34

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Solution

The fourth proportional to 4,572.76, 6,314.16 and 2,805.34 is: 3,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.76 : 6,314.16 = 2,805.34 : x
  2. Step 2: Convert to fraction form
    4,572.76/6,314.16 = 2,805.34/x
  3. Step 3: Cross multiply
    4,572.76x = 6,314.16 × 2,805.34
  4. Step 4: Simplify right side
    4,572.76x = 17,713,365.61
  5. Step 5: Solve for x
    x = 17,713,365.61/4,572.76
  6. Step 6: Final answer
    x = 3,873.67

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Half scale
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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.