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Finding the Fourth Proportional to 19,183.77, 26,473.53 and 10,686

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Solution

The fourth proportional to 19,183.77, 26,473.53 and 10,686 is: 14,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183.77 : 26,473.53 = 10,686 : x
  2. Step 2: Convert to fraction form
    19,183.77/26,473.53 = 10,686/x
  3. Step 3: Cross multiply
    19,183.77x = 26,473.53 × 10,686
  4. Step 4: Simplify right side
    19,183.77x = 282,896,141.58
  5. Step 5: Solve for x
    x = 282,896,141.58/19,183.77
  6. Step 6: Final answer
    x = 14,746.64

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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.