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Finding the Fourth Proportional to 10,733.99, 14,809.87 and 6,957.31

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Solution

The fourth proportional to 10,733.99, 14,809.87 and 6,957.31 is: 9,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.99 : 14,809.87 = 6,957.31 : x
  2. Step 2: Convert to fraction form
    10,733.99/14,809.87 = 6,957.31/x
  3. Step 3: Cross multiply
    10,733.99x = 14,809.87 × 6,957.31
  4. Step 4: Simplify right side
    10,733.99x = 103,036,816.96
  5. Step 5: Solve for x
    x = 103,036,816.96/10,733.99
  6. Step 6: Final answer
    x = 9,599.12

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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.