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Finding the Fourth Proportional to 8,561.25, 11,814.78 and 4,784.58

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Solution

The fourth proportional to 8,561.25, 11,814.78 and 4,784.58 is: 6,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.25 : 11,814.78 = 4,784.58 : x
  2. Step 2: Convert to fraction form
    8,561.25/11,814.78 = 4,784.58/x
  3. Step 3: Cross multiply
    8,561.25x = 11,814.78 × 4,784.58
  4. Step 4: Simplify right side
    8,561.25x = 56,528,760.09
  5. Step 5: Solve for x
    x = 56,528,760.09/8,561.25
  6. Step 6: Final answer
    x = 6,602.86

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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.