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Finding the Fourth Proportional to 5,594.61, 8,392.10 and 1,699

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Solution

The fourth proportional to 5,594.61, 8,392.10 and 1,699 is: 2,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.61 : 8,392.10 = 1,699 : x
  2. Step 2: Convert to fraction form
    5,594.61/8,392.10 = 1,699/x
  3. Step 3: Cross multiply
    5,594.61x = 8,392.10 × 1,699
  4. Step 4: Simplify right side
    5,594.61x = 14,258,177.90
  5. Step 5: Solve for x
    x = 14,258,177.90/5,594.61
  6. Step 6: Final answer
    x = 2,548.56

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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.