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Finding the Fourth Proportional to 11,548, 15,933.45 and 6,829.66

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Solution

The fourth proportional to 11,548, 15,933.45 and 6,829.66 is: 9,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548 : 15,933.45 = 6,829.66 : x
  2. Step 2: Convert to fraction form
    11,548/15,933.45 = 6,829.66/x
  3. Step 3: Cross multiply
    11,548x = 15,933.45 × 6,829.66
  4. Step 4: Simplify right side
    11,548x = 108,820,046.13
  5. Step 5: Solve for x
    x = 108,820,046.13/11,548
  6. Step 6: Final answer
    x = 9,423.28

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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.