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Finding the Fourth Proportional to 28,829, 39,784.12 and 16,253.84

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Solution

The fourth proportional to 28,829, 39,784.12 and 16,253.84 is: 22,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,829 : 39,784.12 = 16,253.84 : x
  2. Step 2: Convert to fraction form
    28,829/39,784.12 = 16,253.84/x
  3. Step 3: Cross multiply
    28,829x = 39,784.12 × 16,253.84
  4. Step 4: Simplify right side
    28,829x = 646,644,721.02
  5. Step 5: Solve for x
    x = 646,644,721.02/28,829
  6. Step 6: Final answer
    x = 22,430.36

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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.