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Finding the Fourth Proportional to 4,374, 6,038.85 and 2,804.83

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Solution

The fourth proportional to 4,374, 6,038.85 and 2,804.83 is: 3,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374 : 6,038.85 = 2,804.83 : x
  2. Step 2: Convert to fraction form
    4,374/6,038.85 = 2,804.83/x
  3. Step 3: Cross multiply
    4,374x = 6,038.85 × 2,804.83
  4. Step 4: Simplify right side
    4,374x = 16,937,943.07
  5. Step 5: Solve for x
    x = 16,937,943.07/4,374
  6. Step 6: Final answer
    x = 3,872.41

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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.