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Finding the Fourth Proportional to 9,734.99, 14,607.09 and 5,052.51

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Solution

The fourth proportional to 9,734.99, 14,607.09 and 5,052.51 is: 7,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.99 : 14,607.09 = 5,052.51 : x
  2. Step 2: Convert to fraction form
    9,734.99/14,607.09 = 5,052.51/x
  3. Step 3: Cross multiply
    9,734.99x = 14,607.09 × 5,052.51
  4. Step 4: Simplify right side
    9,734.99x = 73,802,468.30
  5. Step 5: Solve for x
    x = 73,802,468.30/9,734.99
  6. Step 6: Final answer
    x = 7,581.16

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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.