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Finding the Fourth Proportional to 9,650.76, 14,477.22 and 3,075.42

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Solution

The fourth proportional to 9,650.76, 14,477.22 and 3,075.42 is: 4,613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.76 : 14,477.22 = 3,075.42 : x
  2. Step 2: Convert to fraction form
    9,650.76/14,477.22 = 3,075.42/x
  3. Step 3: Cross multiply
    9,650.76x = 14,477.22 × 3,075.42
  4. Step 4: Simplify right side
    9,650.76x = 44,523,531.93
  5. Step 5: Solve for x
    x = 44,523,531.93/9,650.76
  6. Step 6: Final answer
    x = 4,613.47

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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.