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Finding the Fourth Proportional to 9,602.91, 14,389.79 and 7,126.13

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Solution

The fourth proportional to 9,602.91, 14,389.79 and 7,126.13 is: 10,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.91 : 14,389.79 = 7,126.13 : x
  2. Step 2: Convert to fraction form
    9,602.91/14,389.79 = 7,126.13/x
  3. Step 3: Cross multiply
    9,602.91x = 14,389.79 × 7,126.13
  4. Step 4: Simplify right side
    9,602.91x = 102,543,514.56
  5. Step 5: Solve for x
    x = 102,543,514.56/9,602.91
  6. Step 6: Final answer
    x = 10,678.38

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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.