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Finding the Fourth Proportional to 13,758.64, 18,988.94 and 7,709.29

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Solution

The fourth proportional to 13,758.64, 18,988.94 and 7,709.29 is: 10,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.64 : 18,988.94 = 7,709.29 : x
  2. Step 2: Convert to fraction form
    13,758.64/18,988.94 = 7,709.29/x
  3. Step 3: Cross multiply
    13,758.64x = 18,988.94 × 7,709.29
  4. Step 4: Simplify right side
    13,758.64x = 146,391,277.91
  5. Step 5: Solve for x
    x = 146,391,277.91/13,758.64
  6. Step 6: Final answer
    x = 10,639.95

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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.