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Finding the Fourth Proportional to 9,599.64, 14,394.54 and 4,401

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Solution

The fourth proportional to 9,599.64, 14,394.54 and 4,401 is: 6,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.64 : 14,394.54 = 4,401 : x
  2. Step 2: Convert to fraction form
    9,599.64/14,394.54 = 4,401/x
  3. Step 3: Cross multiply
    9,599.64x = 14,394.54 × 4,401
  4. Step 4: Simplify right side
    9,599.64x = 63,350,370.54
  5. Step 5: Solve for x
    x = 63,350,370.54/9,599.64
  6. Step 6: Final answer
    x = 6,599.24

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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.