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Finding the Fourth Proportional to 13,643.87, 18,830.84 and 7,900.49

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Solution

The fourth proportional to 13,643.87, 18,830.84 and 7,900.49 is: 10,904.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.87 : 18,830.84 = 7,900.49 : x
  2. Step 2: Convert to fraction form
    13,643.87/18,830.84 = 7,900.49/x
  3. Step 3: Cross multiply
    13,643.87x = 18,830.84 × 7,900.49
  4. Step 4: Simplify right side
    13,643.87x = 148,772,929.94
  5. Step 5: Solve for x
    x = 148,772,929.94/13,643.87
  6. Step 6: Final answer
    x = 10,904.01

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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.