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Finding the Fourth Proportional to 8,009.64, 11,047.74 and 7,348.68

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Solution

The fourth proportional to 8,009.64, 11,047.74 and 7,348.68 is: 10,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.64 : 11,047.74 = 7,348.68 : x
  2. Step 2: Convert to fraction form
    8,009.64/11,047.74 = 7,348.68/x
  3. Step 3: Cross multiply
    8,009.64x = 11,047.74 × 7,348.68
  4. Step 4: Simplify right side
    8,009.64x = 81,186,305.98
  5. Step 5: Solve for x
    x = 81,186,305.98/8,009.64
  6. Step 6: Final answer
    x = 10,136.07

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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.