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Finding the Fourth Proportional to 24,668.88, 37,002.24 and 7,138.32

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Solution

The fourth proportional to 24,668.88, 37,002.24 and 7,138.32 is: 10,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,668.88 : 37,002.24 = 7,138.32 : x
  2. Step 2: Convert to fraction form
    24,668.88/37,002.24 = 7,138.32/x
  3. Step 3: Cross multiply
    24,668.88x = 37,002.24 × 7,138.32
  4. Step 4: Simplify right side
    24,668.88x = 264,133,829.84
  5. Step 5: Solve for x
    x = 264,133,829.84/24,668.88
  6. Step 6: Final answer
    x = 10,707.17

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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.