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Finding the Fourth Proportional to 9,663.01, 14,476.08 and 5,209.63

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Solution

The fourth proportional to 9,663.01, 14,476.08 and 5,209.63 is: 7,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.01 : 14,476.08 = 5,209.63 : x
  2. Step 2: Convert to fraction form
    9,663.01/14,476.08 = 5,209.63/x
  3. Step 3: Cross multiply
    9,663.01x = 14,476.08 × 5,209.63
  4. Step 4: Simplify right side
    9,663.01x = 75,415,020.65
  5. Step 5: Solve for x
    x = 75,415,020.65/9,663.01
  6. Step 6: Final answer
    x = 7,804.51

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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.