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Finding the Fourth Proportional to 10,762.68, 14,849.89 and 6,283.87

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Solution

The fourth proportional to 10,762.68, 14,849.89 and 6,283.87 is: 8,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.68 : 14,849.89 = 6,283.87 : x
  2. Step 2: Convert to fraction form
    10,762.68/14,849.89 = 6,283.87/x
  3. Step 3: Cross multiply
    10,762.68x = 14,849.89 × 6,283.87
  4. Step 4: Simplify right side
    10,762.68x = 93,314,778.27
  5. Step 5: Solve for x
    x = 93,314,778.27/10,762.68
  6. Step 6: Final answer
    x = 8,670.22

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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.