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Finding the Fourth Proportional to 10,762.56, 14,841.99 and 6,984.33

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Solution

The fourth proportional to 10,762.56, 14,841.99 and 6,984.33 is: 9,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.56 : 14,841.99 = 6,984.33 : x
  2. Step 2: Convert to fraction form
    10,762.56/14,841.99 = 6,984.33/x
  3. Step 3: Cross multiply
    10,762.56x = 14,841.99 × 6,984.33
  4. Step 4: Simplify right side
    10,762.56x = 103,661,356.02
  5. Step 5: Solve for x
    x = 103,661,356.02/10,762.56
  6. Step 6: Final answer
    x = 9,631.66

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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.