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Finding the Fourth Proportional to 7,823.52, 11,735.64 and 1,980.18

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Solution

The fourth proportional to 7,823.52, 11,735.64 and 1,980.18 is: 2,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.52 : 11,735.64 = 1,980.18 : x
  2. Step 2: Convert to fraction form
    7,823.52/11,735.64 = 1,980.18/x
  3. Step 3: Cross multiply
    7,823.52x = 11,735.64 × 1,980.18
  4. Step 4: Simplify right side
    7,823.52x = 23,238,679.62
  5. Step 5: Solve for x
    x = 23,238,679.62/7,823.52
  6. Step 6: Final answer
    x = 2,970.36

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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.