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Finding the Fourth Proportional to 6,733.40, 10,068.04 and 6,145.22

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Solution

The fourth proportional to 6,733.40, 10,068.04 and 6,145.22 is: 9,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.40 : 10,068.04 = 6,145.22 : x
  2. Step 2: Convert to fraction form
    6,733.40/10,068.04 = 6,145.22/x
  3. Step 3: Cross multiply
    6,733.40x = 10,068.04 × 6,145.22
  4. Step 4: Simplify right side
    6,733.40x = 61,870,262.42
  5. Step 5: Solve for x
    x = 61,870,262.42/6,733.40
  6. Step 6: Final answer
    x = 9,188.56

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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.