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Finding the Fourth Proportional to 9,649.40, 14,474.90 and 3,075.40

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Solution

The fourth proportional to 9,649.40, 14,474.90 and 3,075.40 is: 4,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.40 : 14,474.90 = 3,075.40 : x
  2. Step 2: Convert to fraction form
    9,649.40/14,474.90 = 3,075.40/x
  3. Step 3: Cross multiply
    9,649.40x = 14,474.90 × 3,075.40
  4. Step 4: Simplify right side
    9,649.40x = 44,516,107.46
  5. Step 5: Solve for x
    x = 44,516,107.46/9,649.40
  6. Step 6: Final answer
    x = 4,613.35

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Similar ratio
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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.