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Finding the Fourth Proportional to 9,602.96, 14,406.06 and 3,756.38

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Solution

The fourth proportional to 9,602.96, 14,406.06 and 3,756.38 is: 5,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.96 : 14,406.06 = 3,756.38 : x
  2. Step 2: Convert to fraction form
    9,602.96/14,406.06 = 3,756.38/x
  3. Step 3: Cross multiply
    9,602.96x = 14,406.06 × 3,756.38
  4. Step 4: Simplify right side
    9,602.96x = 54,114,635.66
  5. Step 5: Solve for x
    x = 54,114,635.66/9,602.96
  6. Step 6: Final answer
    x = 5,635.20

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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.