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Finding the Fourth Proportional to 10,643.80, 15,946.24 and 7,714.84

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Solution

The fourth proportional to 10,643.80, 15,946.24 and 7,714.84 is: 11,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.80 : 15,946.24 = 7,714.84 : x
  2. Step 2: Convert to fraction form
    10,643.80/15,946.24 = 7,714.84/x
  3. Step 3: Cross multiply
    10,643.80x = 15,946.24 × 7,714.84
  4. Step 4: Simplify right side
    10,643.80x = 123,022,690.20
  5. Step 5: Solve for x
    x = 123,022,690.20/10,643.80
  6. Step 6: Final answer
    x = 11,558.16

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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.