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Finding the Fourth Proportional to 5,684.60, 8,488.54 and 4,646.63

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Solution

The fourth proportional to 5,684.60, 8,488.54 and 4,646.63 is: 6,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.60 : 8,488.54 = 4,646.63 : x
  2. Step 2: Convert to fraction form
    5,684.60/8,488.54 = 4,646.63/x
  3. Step 3: Cross multiply
    5,684.60x = 8,488.54 × 4,646.63
  4. Step 4: Simplify right side
    5,684.60x = 39,443,104.62
  5. Step 5: Solve for x
    x = 39,443,104.62/5,684.60
  6. Step 6: Final answer
    x = 6,938.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.