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Finding the Fourth Proportional to 10,505.25, 14,497.25 and 6,313.50

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Solution

The fourth proportional to 10,505.25, 14,497.25 and 6,313.50 is: 8,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.25 : 14,497.25 = 6,313.50 : x
  2. Step 2: Convert to fraction form
    10,505.25/14,497.25 = 6,313.50/x
  3. Step 3: Cross multiply
    10,505.25x = 14,497.25 × 6,313.50
  4. Step 4: Simplify right side
    10,505.25x = 91,528,356.31
  5. Step 5: Solve for x
    x = 91,528,356.31/10,505.25
  6. Step 6: Final answer
    x = 8,712.63

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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.