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Finding the Fourth Proportional to 9,662.10, 14,497.20 and 7,218.14

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Solution

The fourth proportional to 9,662.10, 14,497.20 and 7,218.14 is: 10,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.10 : 14,497.20 = 7,218.14 : x
  2. Step 2: Convert to fraction form
    9,662.10/14,497.20 = 7,218.14/x
  3. Step 3: Cross multiply
    9,662.10x = 14,497.20 × 7,218.14
  4. Step 4: Simplify right side
    9,662.10x = 104,642,746.72
  5. Step 5: Solve for x
    x = 104,642,746.72/9,662.10
  6. Step 6: Final answer
    x = 10,830.23

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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.