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Finding the Fourth Proportional to 6,446.37, 9,670.49 and 2,445.23

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Solution

The fourth proportional to 6,446.37, 9,670.49 and 2,445.23 is: 3,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.37 : 9,670.49 = 2,445.23 : x
  2. Step 2: Convert to fraction form
    6,446.37/9,670.49 = 2,445.23/x
  3. Step 3: Cross multiply
    6,446.37x = 9,670.49 × 2,445.23
  4. Step 4: Simplify right side
    6,446.37x = 23,646,547.95
  5. Step 5: Solve for x
    x = 23,646,547.95/6,446.37
  6. Step 6: Final answer
    x = 3,668.19

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Double scale
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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.