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Finding the Fourth Proportional to 12,662.14, 17,468.08 and 7,354.08

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Solution

The fourth proportional to 12,662.14, 17,468.08 and 7,354.08 is: 10,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.14 : 17,468.08 = 7,354.08 : x
  2. Step 2: Convert to fraction form
    12,662.14/17,468.08 = 7,354.08/x
  3. Step 3: Cross multiply
    12,662.14x = 17,468.08 × 7,354.08
  4. Step 4: Simplify right side
    12,662.14x = 128,461,657.77
  5. Step 5: Solve for x
    x = 128,461,657.77/12,662.14
  6. Step 6: Final answer
    x = 10,145.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.