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Finding the Fourth Proportional to 10,563.14, 14,578.08 and 5,848.94

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Solution

The fourth proportional to 10,563.14, 14,578.08 and 5,848.94 is: 8,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.14 : 14,578.08 = 5,848.94 : x
  2. Step 2: Convert to fraction form
    10,563.14/14,578.08 = 5,848.94/x
  3. Step 3: Cross multiply
    10,563.14x = 14,578.08 × 5,848.94
  4. Step 4: Simplify right side
    10,563.14x = 85,266,315.24
  5. Step 5: Solve for x
    x = 85,266,315.24/10,563.14
  6. Step 6: Final answer
    x = 8,072.06

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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.