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Finding the Fourth Proportional to 6,581.14, 9,873.33 and 4,637.14

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Solution

The fourth proportional to 6,581.14, 9,873.33 and 4,637.14 is: 6,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.14 : 9,873.33 = 4,637.14 : x
  2. Step 2: Convert to fraction form
    6,581.14/9,873.33 = 4,637.14/x
  3. Step 3: Cross multiply
    6,581.14x = 9,873.33 × 4,637.14
  4. Step 4: Simplify right side
    6,581.14x = 45,783,971.40
  5. Step 5: Solve for x
    x = 45,783,971.40/6,581.14
  6. Step 6: Final answer
    x = 6,956.85

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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.