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Finding the Fourth Proportional to 8,702.72, 12,009 and 5,165.36

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Solution

The fourth proportional to 8,702.72, 12,009 and 5,165.36 is: 7,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.72 : 12,009 = 5,165.36 : x
  2. Step 2: Convert to fraction form
    8,702.72/12,009 = 5,165.36/x
  3. Step 3: Cross multiply
    8,702.72x = 12,009 × 5,165.36
  4. Step 4: Simplify right side
    8,702.72x = 62,030,808.24
  5. Step 5: Solve for x
    x = 62,030,808.24/8,702.72
  6. Step 6: Final answer
    x = 7,127.75

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1.5x scale

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.