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Finding the Fourth Proportional to 8,651.64, 11,927.34 and 6,526.20

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Solution

The fourth proportional to 8,651.64, 11,927.34 and 6,526.20 is: 8,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.64 : 11,927.34 = 6,526.20 : x
  2. Step 2: Convert to fraction form
    8,651.64/11,927.34 = 6,526.20/x
  3. Step 3: Cross multiply
    8,651.64x = 11,927.34 × 6,526.20
  4. Step 4: Simplify right side
    8,651.64x = 77,840,206.31
  5. Step 5: Solve for x
    x = 77,840,206.31/8,651.64
  6. Step 6: Final answer
    x = 8,997.16

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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.