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Finding the Fourth Proportional to 4,654.40, 6,423 and 2,558.48

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Solution

The fourth proportional to 4,654.40, 6,423 and 2,558.48 is: 3,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.40 : 6,423 = 2,558.48 : x
  2. Step 2: Convert to fraction form
    4,654.40/6,423 = 2,558.48/x
  3. Step 3: Cross multiply
    4,654.40x = 6,423 × 2,558.48
  4. Step 4: Simplify right side
    4,654.40x = 16,433,117.04
  5. Step 5: Solve for x
    x = 16,433,117.04/4,654.40
  6. Step 6: Final answer
    x = 3,530.66

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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.