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Finding the Fourth Proportional to 15,602.93, 23,404.41 and 5,214.68

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Solution

The fourth proportional to 15,602.93, 23,404.41 and 5,214.68 is: 7,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602.93 : 23,404.41 = 5,214.68 : x
  2. Step 2: Convert to fraction form
    15,602.93/23,404.41 = 5,214.68/x
  3. Step 3: Cross multiply
    15,602.93x = 23,404.41 × 5,214.68
  4. Step 4: Simplify right side
    15,602.93x = 122,046,567.25
  5. Step 5: Solve for x
    x = 122,046,567.25/15,602.93
  6. Step 6: Final answer
    x = 7,822.03

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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.