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Finding the Fourth Proportional to 10,784.81, 14,883.33 and 6,069.26

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Solution

The fourth proportional to 10,784.81, 14,883.33 and 6,069.26 is: 8,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.81 : 14,883.33 = 6,069.26 : x
  2. Step 2: Convert to fraction form
    10,784.81/14,883.33 = 6,069.26/x
  3. Step 3: Cross multiply
    10,784.81x = 14,883.33 × 6,069.26
  4. Step 4: Simplify right side
    10,784.81x = 90,330,725.02
  5. Step 5: Solve for x
    x = 90,330,725.02/10,784.81
  6. Step 6: Final answer
    x = 8,375.74

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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.