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Finding the Fourth Proportional to 9,384.26, 14,080.48 and 7,301.14

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Solution

The fourth proportional to 9,384.26, 14,080.48 and 7,301.14 is: 10,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.26 : 14,080.48 = 7,301.14 : x
  2. Step 2: Convert to fraction form
    9,384.26/14,080.48 = 7,301.14/x
  3. Step 3: Cross multiply
    9,384.26x = 14,080.48 × 7,301.14
  4. Step 4: Simplify right side
    9,384.26x = 102,803,543.36
  5. Step 5: Solve for x
    x = 102,803,543.36/9,384.26
  6. Step 6: Final answer
    x = 10,954.90

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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.