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Finding the Fourth Proportional to 5,083, 7,014.04 and 2,844.76

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Solution

The fourth proportional to 5,083, 7,014.04 and 2,844.76 is: 3,925.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083 : 7,014.04 = 2,844.76 : x
  2. Step 2: Convert to fraction form
    5,083/7,014.04 = 2,844.76/x
  3. Step 3: Cross multiply
    5,083x = 7,014.04 × 2,844.76
  4. Step 4: Simplify right side
    5,083x = 19,953,260.43
  5. Step 5: Solve for x
    x = 19,953,260.43/5,083
  6. Step 6: Final answer
    x = 3,925.49

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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.