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Finding the Fourth Proportional to 7,732.64, 10,669.59 and 4,374.59

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Solution

The fourth proportional to 7,732.64, 10,669.59 and 4,374.59 is: 6,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.64 : 10,669.59 = 4,374.59 : x
  2. Step 2: Convert to fraction form
    7,732.64/10,669.59 = 4,374.59/x
  3. Step 3: Cross multiply
    7,732.64x = 10,669.59 × 4,374.59
  4. Step 4: Simplify right side
    7,732.64x = 46,675,028.37
  5. Step 5: Solve for x
    x = 46,675,028.37/7,732.64
  6. Step 6: Final answer
    x = 6,036.10

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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.