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Finding the Fourth Proportional to 8,561.84, 11,814.13 and 4,784.71

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Solution

The fourth proportional to 8,561.84, 11,814.13 and 4,784.71 is: 6,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.84 : 11,814.13 = 4,784.71 : x
  2. Step 2: Convert to fraction form
    8,561.84/11,814.13 = 4,784.71/x
  3. Step 3: Cross multiply
    8,561.84x = 11,814.13 × 4,784.71
  4. Step 4: Simplify right side
    8,561.84x = 56,527,185.95
  5. Step 5: Solve for x
    x = 56,527,185.95/8,561.84
  6. Step 6: Final answer
    x = 6,602.22

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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.