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Finding the Fourth Proportional to 7,669, 10,583.22 and 4,357

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Solution

The fourth proportional to 7,669, 10,583.22 and 4,357 is: 6,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669 : 10,583.22 = 4,357 : x
  2. Step 2: Convert to fraction form
    7,669/10,583.22 = 4,357/x
  3. Step 3: Cross multiply
    7,669x = 10,583.22 × 4,357
  4. Step 4: Simplify right side
    7,669x = 46,111,089.54
  5. Step 5: Solve for x
    x = 46,111,089.54/7,669
  6. Step 6: Final answer
    x = 6,012.66

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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.