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Finding the Fourth Proportional to 8,561.05, 11,814.10 and 4,784.29

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Solution

The fourth proportional to 8,561.05, 11,814.10 and 4,784.29 is: 6,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.05 : 11,814.10 = 4,784.29 : x
  2. Step 2: Convert to fraction form
    8,561.05/11,814.10 = 4,784.29/x
  3. Step 3: Cross multiply
    8,561.05x = 11,814.10 × 4,784.29
  4. Step 4: Simplify right side
    8,561.05x = 56,522,080.49
  5. Step 5: Solve for x
    x = 56,522,080.49/8,561.05
  6. Step 6: Final answer
    x = 6,602.24

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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.