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Finding the Fourth Proportional to 10,577.99, 15,864.99 and 5,311.58

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Solution

The fourth proportional to 10,577.99, 15,864.99 and 5,311.58 is: 7,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.99 : 15,864.99 = 5,311.58 : x
  2. Step 2: Convert to fraction form
    10,577.99/15,864.99 = 5,311.58/x
  3. Step 3: Cross multiply
    10,577.99x = 15,864.99 × 5,311.58
  4. Step 4: Simplify right side
    10,577.99x = 84,268,084.26
  5. Step 5: Solve for x
    x = 84,268,084.26/10,577.99
  6. Step 6: Final answer
    x = 7,966.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.