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Finding the Fourth Proportional to 6,894, 10,341.08 and 1,699.88

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Solution

The fourth proportional to 6,894, 10,341.08 and 1,699.88 is: 2,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894 : 10,341.08 = 1,699.88 : x
  2. Step 2: Convert to fraction form
    6,894/10,341.08 = 1,699.88/x
  3. Step 3: Cross multiply
    6,894x = 10,341.08 × 1,699.88
  4. Step 4: Simplify right side
    6,894x = 17,578,595.07
  5. Step 5: Solve for x
    x = 17,578,595.07/6,894
  6. Step 6: Final answer
    x = 2,549.84

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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.