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Finding the Fourth Proportional to 11,586.60, 15,983.64 and 7,330.52

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Solution

The fourth proportional to 11,586.60, 15,983.64 and 7,330.52 is: 10,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.60 : 15,983.64 = 7,330.52 : x
  2. Step 2: Convert to fraction form
    11,586.60/15,983.64 = 7,330.52/x
  3. Step 3: Cross multiply
    11,586.60x = 15,983.64 × 7,330.52
  4. Step 4: Simplify right side
    11,586.60x = 117,168,392.69
  5. Step 5: Solve for x
    x = 117,168,392.69/11,586.60
  6. Step 6: Final answer
    x = 10,112.41

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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.