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Finding the Fourth Proportional to 6,446.66, 9,668.44 and 4,712.08

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Solution

The fourth proportional to 6,446.66, 9,668.44 and 4,712.08 is: 7,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.66 : 9,668.44 = 4,712.08 : x
  2. Step 2: Convert to fraction form
    6,446.66/9,668.44 = 4,712.08/x
  3. Step 3: Cross multiply
    6,446.66x = 9,668.44 × 4,712.08
  4. Step 4: Simplify right side
    6,446.66x = 45,558,462.76
  5. Step 5: Solve for x
    x = 45,558,462.76/6,446.66
  6. Step 6: Final answer
    x = 7,066.99

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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.