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Finding the Fourth Proportional to 6,007.30, 8,999 and 4,702.66

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Solution

The fourth proportional to 6,007.30, 8,999 and 4,702.66 is: 7,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.30 : 8,999 = 4,702.66 : x
  2. Step 2: Convert to fraction form
    6,007.30/8,999 = 4,702.66/x
  3. Step 3: Cross multiply
    6,007.30x = 8,999 × 4,702.66
  4. Step 4: Simplify right side
    6,007.30x = 42,319,237.34
  5. Step 5: Solve for x
    x = 42,319,237.34/6,007.30
  6. Step 6: Final answer
    x = 7,044.64

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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.