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Finding the Fourth Proportional to 6,005.30, 8,996 and 4,700.66

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Solution

The fourth proportional to 6,005.30, 8,996 and 4,700.66 is: 7,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.30 : 8,996 = 4,700.66 : x
  2. Step 2: Convert to fraction form
    6,005.30/8,996 = 4,700.66/x
  3. Step 3: Cross multiply
    6,005.30x = 8,996 × 4,700.66
  4. Step 4: Simplify right side
    6,005.30x = 42,287,137.36
  5. Step 5: Solve for x
    x = 42,287,137.36/6,005.30
  6. Step 6: Final answer
    x = 7,041.64

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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.