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Finding the Fourth Proportional to 6,503.50, 8,974.95 and 4,643.74

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Solution

The fourth proportional to 6,503.50, 8,974.95 and 4,643.74 is: 6,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.50 : 8,974.95 = 4,643.74 : x
  2. Step 2: Convert to fraction form
    6,503.50/8,974.95 = 4,643.74/x
  3. Step 3: Cross multiply
    6,503.50x = 8,974.95 × 4,643.74
  4. Step 4: Simplify right side
    6,503.50x = 41,677,334.31
  5. Step 5: Solve for x
    x = 41,677,334.31/6,503.50
  6. Step 6: Final answer
    x = 6,408.45

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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.