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Finding the Fourth Proportional to 6,937.58, 10,406.37 and 5,895.11

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Solution

The fourth proportional to 6,937.58, 10,406.37 and 5,895.11 is: 8,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.58 : 10,406.37 = 5,895.11 : x
  2. Step 2: Convert to fraction form
    6,937.58/10,406.37 = 5,895.11/x
  3. Step 3: Cross multiply
    6,937.58x = 10,406.37 × 5,895.11
  4. Step 4: Simplify right side
    6,937.58x = 61,346,743.97
  5. Step 5: Solve for x
    x = 61,346,743.97/6,937.58
  6. Step 6: Final answer
    x = 8,842.67

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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.