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Finding the Fourth Proportional to 10,596.73, 14,621.94 and 6,825.01

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Solution

The fourth proportional to 10,596.73, 14,621.94 and 6,825.01 is: 9,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.73 : 14,621.94 = 6,825.01 : x
  2. Step 2: Convert to fraction form
    10,596.73/14,621.94 = 6,825.01/x
  3. Step 3: Cross multiply
    10,596.73x = 14,621.94 × 6,825.01
  4. Step 4: Simplify right side
    10,596.73x = 99,794,886.72
  5. Step 5: Solve for x
    x = 99,794,886.72/10,596.73
  6. Step 6: Final answer
    x = 9,417.52

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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.