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Finding the Fourth Proportional to 5,646.34, 8,467.64 and 1,948.48

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Solution

The fourth proportional to 5,646.34, 8,467.64 and 1,948.48 is: 2,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.34 : 8,467.64 = 1,948.48 : x
  2. Step 2: Convert to fraction form
    5,646.34/8,467.64 = 1,948.48/x
  3. Step 3: Cross multiply
    5,646.34x = 8,467.64 × 1,948.48
  4. Step 4: Simplify right side
    5,646.34x = 16,499,027.19
  5. Step 5: Solve for x
    x = 16,499,027.19/5,646.34
  6. Step 6: Final answer
    x = 2,922.07

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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.