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Finding the Fourth Proportional to 10,994, 16,495.80 and 4,066.64

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Solution

The fourth proportional to 10,994, 16,495.80 and 4,066.64 is: 6,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994 : 16,495.80 = 4,066.64 : x
  2. Step 2: Convert to fraction form
    10,994/16,495.80 = 4,066.64/x
  3. Step 3: Cross multiply
    10,994x = 16,495.80 × 4,066.64
  4. Step 4: Simplify right side
    10,994x = 67,082,480.11
  5. Step 5: Solve for x
    x = 67,082,480.11/10,994
  6. Step 6: Final answer
    x = 6,101.74

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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.