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Finding the Fourth Proportional to 7,031, 9,702.94 and 4,551.32

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Solution

The fourth proportional to 7,031, 9,702.94 and 4,551.32 is: 6,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031 : 9,702.94 = 4,551.32 : x
  2. Step 2: Convert to fraction form
    7,031/9,702.94 = 4,551.32/x
  3. Step 3: Cross multiply
    7,031x = 9,702.94 × 4,551.32
  4. Step 4: Simplify right side
    7,031x = 44,161,184.88
  5. Step 5: Solve for x
    x = 44,161,184.88/7,031
  6. Step 6: Final answer
    x = 6,280.93

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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.