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Finding the Fourth Proportional to 10,657.94, 15,985.10 and 4,813.18

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Solution

The fourth proportional to 10,657.94, 15,985.10 and 4,813.18 is: 7,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.94 : 15,985.10 = 4,813.18 : x
  2. Step 2: Convert to fraction form
    10,657.94/15,985.10 = 4,813.18/x
  3. Step 3: Cross multiply
    10,657.94x = 15,985.10 × 4,813.18
  4. Step 4: Simplify right side
    10,657.94x = 76,939,163.62
  5. Step 5: Solve for x
    x = 76,939,163.62/10,657.94
  6. Step 6: Final answer
    x = 7,218.95

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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.