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Finding the Fourth Proportional to 11,309.99, 15,607.01 and 6,274.01

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Solution

The fourth proportional to 11,309.99, 15,607.01 and 6,274.01 is: 8,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.99 : 15,607.01 = 6,274.01 : x
  2. Step 2: Convert to fraction form
    11,309.99/15,607.01 = 6,274.01/x
  3. Step 3: Cross multiply
    11,309.99x = 15,607.01 × 6,274.01
  4. Step 4: Simplify right side
    11,309.99x = 97,918,591.51
  5. Step 5: Solve for x
    x = 97,918,591.51/11,309.99
  6. Step 6: Final answer
    x = 8,657.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.