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Finding the Fourth Proportional to 9,649.55, 14,474.16 and 3,075.63

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Solution

The fourth proportional to 9,649.55, 14,474.16 and 3,075.63 is: 4,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.55 : 14,474.16 = 3,075.63 : x
  2. Step 2: Convert to fraction form
    9,649.55/14,474.16 = 3,075.63/x
  3. Step 3: Cross multiply
    9,649.55x = 14,474.16 × 3,075.63
  4. Step 4: Simplify right side
    9,649.55x = 44,517,160.72
  5. Step 5: Solve for x
    x = 44,517,160.72/9,649.55
  6. Step 6: Final answer
    x = 4,613.39

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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.