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Finding the Fourth Proportional to 6,061, 8,365.68 and 3,705.13

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Solution

The fourth proportional to 6,061, 8,365.68 and 3,705.13 is: 5,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061 : 8,365.68 = 3,705.13 : x
  2. Step 2: Convert to fraction form
    6,061/8,365.68 = 3,705.13/x
  3. Step 3: Cross multiply
    6,061x = 8,365.68 × 3,705.13
  4. Step 4: Simplify right side
    6,061x = 30,995,931.94
  5. Step 5: Solve for x
    x = 30,995,931.94/6,061
  6. Step 6: Final answer
    x = 5,114.00

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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.