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Finding the Fourth Proportional to 7,616.38, 10,503.77 and 4,784.02

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Solution

The fourth proportional to 7,616.38, 10,503.77 and 4,784.02 is: 6,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.38 : 10,503.77 = 4,784.02 : x
  2. Step 2: Convert to fraction form
    7,616.38/10,503.77 = 4,784.02/x
  3. Step 3: Cross multiply
    7,616.38x = 10,503.77 × 4,784.02
  4. Step 4: Simplify right side
    7,616.38x = 50,250,245.76
  5. Step 5: Solve for x
    x = 50,250,245.76/7,616.38
  6. Step 6: Final answer
    x = 6,597.65

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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.