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Finding the Fourth Proportional to 9,709.01, 14,542.16 and 8,024.04

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Solution

The fourth proportional to 9,709.01, 14,542.16 and 8,024.04 is: 12,018.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.01 : 14,542.16 = 8,024.04 : x
  2. Step 2: Convert to fraction form
    9,709.01/14,542.16 = 8,024.04/x
  3. Step 3: Cross multiply
    9,709.01x = 14,542.16 × 8,024.04
  4. Step 4: Simplify right side
    9,709.01x = 116,686,873.53
  5. Step 5: Solve for x
    x = 116,686,873.53/9,709.01
  6. Step 6: Final answer
    x = 12,018.41

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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.