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Finding the Fourth Proportional to 13,622.76, 18,799.47 and 7,656.48

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Solution

The fourth proportional to 13,622.76, 18,799.47 and 7,656.48 is: 10,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,622.76 : 18,799.47 = 7,656.48 : x
  2. Step 2: Convert to fraction form
    13,622.76/18,799.47 = 7,656.48/x
  3. Step 3: Cross multiply
    13,622.76x = 18,799.47 × 7,656.48
  4. Step 4: Simplify right side
    13,622.76x = 143,937,766.07
  5. Step 5: Solve for x
    x = 143,937,766.07/13,622.76
  6. Step 6: Final answer
    x = 10,565.98

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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.