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Finding the Fourth Proportional to 13,767.94, 19,000.19 and 7,799.47

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Solution

The fourth proportional to 13,767.94, 19,000.19 and 7,799.47 is: 10,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.94 : 19,000.19 = 7,799.47 : x
  2. Step 2: Convert to fraction form
    13,767.94/19,000.19 = 7,799.47/x
  3. Step 3: Cross multiply
    13,767.94x = 19,000.19 × 7,799.47
  4. Step 4: Simplify right side
    13,767.94x = 148,191,411.90
  5. Step 5: Solve for x
    x = 148,191,411.90/13,767.94
  6. Step 6: Final answer
    x = 10,763.51

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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.