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Finding the Fourth Proportional to 10,562.93, 14,576.93 and 5,847.20

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Solution

The fourth proportional to 10,562.93, 14,576.93 and 5,847.20 is: 8,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.93 : 14,576.93 = 5,847.20 : x
  2. Step 2: Convert to fraction form
    10,562.93/14,576.93 = 5,847.20/x
  3. Step 3: Cross multiply
    10,562.93x = 14,576.93 × 5,847.20
  4. Step 4: Simplify right side
    10,562.93x = 85,234,225.10
  5. Step 5: Solve for x
    x = 85,234,225.10/10,562.93
  6. Step 6: Final answer
    x = 8,069.18

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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.