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Finding the Fourth Proportional to 9,893.80, 14,848.80 and 9,569.80

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Solution

The fourth proportional to 9,893.80, 14,848.80 and 9,569.80 is: 14,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.80 : 14,848.80 = 9,569.80 : x
  2. Step 2: Convert to fraction form
    9,893.80/14,848.80 = 9,569.80/x
  3. Step 3: Cross multiply
    9,893.80x = 14,848.80 × 9,569.80
  4. Step 4: Simplify right side
    9,893.80x = 142,100,046.24
  5. Step 5: Solve for x
    x = 142,100,046.24/9,893.80
  6. Step 6: Final answer
    x = 14,362.53

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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.