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Finding the Fourth Proportional to 9,652.02, 14,480.53 and 5,652.78

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Solution

The fourth proportional to 9,652.02, 14,480.53 and 5,652.78 is: 8,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.02 : 14,480.53 = 5,652.78 : x
  2. Step 2: Convert to fraction form
    9,652.02/14,480.53 = 5,652.78/x
  3. Step 3: Cross multiply
    9,652.02x = 14,480.53 × 5,652.78
  4. Step 4: Simplify right side
    9,652.02x = 81,855,222.11
  5. Step 5: Solve for x
    x = 81,855,222.11/9,652.02
  6. Step 6: Final answer
    x = 8,480.63

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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.