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Finding the Fourth Proportional to 10,984.48, 15,157.74 and 6,507.88

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Solution

The fourth proportional to 10,984.48, 15,157.74 and 6,507.88 is: 8,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.48 : 15,157.74 = 6,507.88 : x
  2. Step 2: Convert to fraction form
    10,984.48/15,157.74 = 6,507.88/x
  3. Step 3: Cross multiply
    10,984.48x = 15,157.74 × 6,507.88
  4. Step 4: Simplify right side
    10,984.48x = 98,644,752.99
  5. Step 5: Solve for x
    x = 98,644,752.99/10,984.48
  6. Step 6: Final answer
    x = 8,980.38

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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.