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Finding the Fourth Proportional to 23,384.58, 35,078.68 and 7,802.18

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Solution

The fourth proportional to 23,384.58, 35,078.68 and 7,802.18 is: 11,703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.58 : 35,078.68 = 7,802.18 : x
  2. Step 2: Convert to fraction form
    23,384.58/35,078.68 = 7,802.18/x
  3. Step 3: Cross multiply
    23,384.58x = 35,078.68 × 7,802.18
  4. Step 4: Simplify right side
    23,384.58x = 273,690,175.52
  5. Step 5: Solve for x
    x = 273,690,175.52/23,384.58
  6. Step 6: Final answer
    x = 11,703.87

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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.