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Finding the Fourth Proportional to 17,643.87, 26,465.85 and 7,783.20

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Solution

The fourth proportional to 17,643.87, 26,465.85 and 7,783.20 is: 11,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.87 : 26,465.85 = 7,783.20 : x
  2. Step 2: Convert to fraction form
    17,643.87/26,465.85 = 7,783.20/x
  3. Step 3: Cross multiply
    17,643.87x = 26,465.85 × 7,783.20
  4. Step 4: Simplify right side
    17,643.87x = 205,989,003.72
  5. Step 5: Solve for x
    x = 205,989,003.72/17,643.87
  6. Step 6: Final answer
    x = 11,674.82

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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.