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Finding the Fourth Proportional to 11,574.54, 15,956.12 and 7,588.74

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Solution

The fourth proportional to 11,574.54, 15,956.12 and 7,588.74 is: 10,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.54 : 15,956.12 = 7,588.74 : x
  2. Step 2: Convert to fraction form
    11,574.54/15,956.12 = 7,588.74/x
  3. Step 3: Cross multiply
    11,574.54x = 15,956.12 × 7,588.74
  4. Step 4: Simplify right side
    11,574.54x = 121,086,846.09
  5. Step 5: Solve for x
    x = 121,086,846.09/11,574.54
  6. Step 6: Final answer
    x = 10,461.48

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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.