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Finding the Fourth Proportional to 9,751.40, 14,627.10 and 5,604.20

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Solution

The fourth proportional to 9,751.40, 14,627.10 and 5,604.20 is: 8,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.40 : 14,627.10 = 5,604.20 : x
  2. Step 2: Convert to fraction form
    9,751.40/14,627.10 = 5,604.20/x
  3. Step 3: Cross multiply
    9,751.40x = 14,627.10 × 5,604.20
  4. Step 4: Simplify right side
    9,751.40x = 81,973,193.82
  5. Step 5: Solve for x
    x = 81,973,193.82/9,751.40
  6. Step 6: Final answer
    x = 8,406.30

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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.