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Finding the Fourth Proportional to 8,564.98, 12,841.24 and 5,784.76

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Solution

The fourth proportional to 8,564.98, 12,841.24 and 5,784.76 is: 8,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.98 : 12,841.24 = 5,784.76 : x
  2. Step 2: Convert to fraction form
    8,564.98/12,841.24 = 5,784.76/x
  3. Step 3: Cross multiply
    8,564.98x = 12,841.24 × 5,784.76
  4. Step 4: Simplify right side
    8,564.98x = 74,283,491.50
  5. Step 5: Solve for x
    x = 74,283,491.50/8,564.98
  6. Step 6: Final answer
    x = 8,672.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.