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Finding the Fourth Proportional to 4,653.32, 6,971.13 and 2,892.78

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Solution

The fourth proportional to 4,653.32, 6,971.13 and 2,892.78 is: 4,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.32 : 6,971.13 = 2,892.78 : x
  2. Step 2: Convert to fraction form
    4,653.32/6,971.13 = 2,892.78/x
  3. Step 3: Cross multiply
    4,653.32x = 6,971.13 × 2,892.78
  4. Step 4: Simplify right side
    4,653.32x = 20,165,945.44
  5. Step 5: Solve for x
    x = 20,165,945.44/4,653.32
  6. Step 6: Final answer
    x = 4,333.67

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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.