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Finding the Fourth Proportional to 6,242.60, 8,588.94 and 4,741.76

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Solution

The fourth proportional to 6,242.60, 8,588.94 and 4,741.76 is: 6,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.60 : 8,588.94 = 4,741.76 : x
  2. Step 2: Convert to fraction form
    6,242.60/8,588.94 = 4,741.76/x
  3. Step 3: Cross multiply
    6,242.60x = 8,588.94 × 4,741.76
  4. Step 4: Simplify right side
    6,242.60x = 40,726,692.13
  5. Step 5: Solve for x
    x = 40,726,692.13/6,242.60
  6. Step 6: Final answer
    x = 6,524.00

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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.