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Finding the Fourth Proportional to 5,663.64, 8,495.56 and 1,965.98

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Solution

The fourth proportional to 5,663.64, 8,495.56 and 1,965.98 is: 2,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.64 : 8,495.56 = 1,965.98 : x
  2. Step 2: Convert to fraction form
    5,663.64/8,495.56 = 1,965.98/x
  3. Step 3: Cross multiply
    5,663.64x = 8,495.56 × 1,965.98
  4. Step 4: Simplify right side
    5,663.64x = 16,702,101.05
  5. Step 5: Solve for x
    x = 16,702,101.05/5,663.64
  6. Step 6: Final answer
    x = 2,949.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.