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Finding the Fourth Proportional to 9,673.79, 14,510.69 and 7,738.29

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Solution

The fourth proportional to 9,673.79, 14,510.69 and 7,738.29 is: 11,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.79 : 14,510.69 = 7,738.29 : x
  2. Step 2: Convert to fraction form
    9,673.79/14,510.69 = 7,738.29/x
  3. Step 3: Cross multiply
    9,673.79x = 14,510.69 × 7,738.29
  4. Step 4: Simplify right side
    9,673.79x = 112,287,943.04
  5. Step 5: Solve for x
    x = 112,287,943.04/9,673.79
  6. Step 6: Final answer
    x = 11,607.44

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Similar ratio
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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.