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Finding the Fourth Proportional to 10,597.30, 15,899.30 and 6,651.31

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Solution

The fourth proportional to 10,597.30, 15,899.30 and 6,651.31 is: 9,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.30 : 15,899.30 = 6,651.31 : x
  2. Step 2: Convert to fraction form
    10,597.30/15,899.30 = 6,651.31/x
  3. Step 3: Cross multiply
    10,597.30x = 15,899.30 × 6,651.31
  4. Step 4: Simplify right side
    10,597.30x = 105,751,082.74
  5. Step 5: Solve for x
    x = 105,751,082.74/10,597.30
  6. Step 6: Final answer
    x = 9,979.06

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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.