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Finding the Fourth Proportional to 3,009.71, 4,512.94 and 929.09

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Solution

The fourth proportional to 3,009.71, 4,512.94 and 929.09 is: 1,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.71 : 4,512.94 = 929.09 : x
  2. Step 2: Convert to fraction form
    3,009.71/4,512.94 = 929.09/x
  3. Step 3: Cross multiply
    3,009.71x = 4,512.94 × 929.09
  4. Step 4: Simplify right side
    3,009.71x = 4,192,927.42
  5. Step 5: Solve for x
    x = 4,192,927.42/3,009.71
  6. Step 6: Final answer
    x = 1,393.13

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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.