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Finding the Fourth Proportional to 5,113.75, 7,670.41 and 1,603.68

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Solution

The fourth proportional to 5,113.75, 7,670.41 and 1,603.68 is: 2,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.75 : 7,670.41 = 1,603.68 : x
  2. Step 2: Convert to fraction form
    5,113.75/7,670.41 = 1,603.68/x
  3. Step 3: Cross multiply
    5,113.75x = 7,670.41 × 1,603.68
  4. Step 4: Simplify right side
    5,113.75x = 12,300,883.11
  5. Step 5: Solve for x
    x = 12,300,883.11/5,113.75
  6. Step 6: Final answer
    x = 2,405.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.