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Finding the Fourth Proportional to 5,690.63, 7,855.85 and 4,411.63

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Solution

The fourth proportional to 5,690.63, 7,855.85 and 4,411.63 is: 6,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.63 : 7,855.85 = 4,411.63 : x
  2. Step 2: Convert to fraction form
    5,690.63/7,855.85 = 4,411.63/x
  3. Step 3: Cross multiply
    5,690.63x = 7,855.85 × 4,411.63
  4. Step 4: Simplify right side
    5,690.63x = 34,657,064.26
  5. Step 5: Solve for x
    x = 34,657,064.26/5,690.63
  6. Step 6: Final answer
    x = 6,090.20

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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.