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Finding the Fourth Proportional to 9,833.54, 13,569.80 and 5,357.27

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Solution

The fourth proportional to 9,833.54, 13,569.80 and 5,357.27 is: 7,392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.54 : 13,569.80 = 5,357.27 : x
  2. Step 2: Convert to fraction form
    9,833.54/13,569.80 = 5,357.27/x
  3. Step 3: Cross multiply
    9,833.54x = 13,569.80 × 5,357.27
  4. Step 4: Simplify right side
    9,833.54x = 72,697,089.58
  5. Step 5: Solve for x
    x = 72,697,089.58/9,833.54
  6. Step 6: Final answer
    x = 7,392.77

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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.