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Finding the Fourth Proportional to 10,503.73, 15,762.16 and 4,263.74

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Solution

The fourth proportional to 10,503.73, 15,762.16 and 4,263.74 is: 6,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.73 : 15,762.16 = 4,263.74 : x
  2. Step 2: Convert to fraction form
    10,503.73/15,762.16 = 4,263.74/x
  3. Step 3: Cross multiply
    10,503.73x = 15,762.16 × 4,263.74
  4. Step 4: Simplify right side
    10,503.73x = 67,205,651.95
  5. Step 5: Solve for x
    x = 67,205,651.95/10,503.73
  6. Step 6: Final answer
    x = 6,398.27

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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.