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Finding the Fourth Proportional to 5,098.46, 7,647.70 and 4,106.63

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Solution

The fourth proportional to 5,098.46, 7,647.70 and 4,106.63 is: 6,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.46 : 7,647.70 = 4,106.63 : x
  2. Step 2: Convert to fraction form
    5,098.46/7,647.70 = 4,106.63/x
  3. Step 3: Cross multiply
    5,098.46x = 7,647.70 × 4,106.63
  4. Step 4: Simplify right side
    5,098.46x = 31,406,274.25
  5. Step 5: Solve for x
    x = 31,406,274.25/5,098.46
  6. Step 6: Final answer
    x = 6,159.95

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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.