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Finding the Fourth Proportional to 8,702.40, 12,004.34 and 5,509.83

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Solution

The fourth proportional to 8,702.40, 12,004.34 and 5,509.83 is: 7,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.40 : 12,004.34 = 5,509.83 : x
  2. Step 2: Convert to fraction form
    8,702.40/12,004.34 = 5,509.83/x
  3. Step 3: Cross multiply
    8,702.40x = 12,004.34 × 5,509.83
  4. Step 4: Simplify right side
    8,702.40x = 66,141,845.11
  5. Step 5: Solve for x
    x = 66,141,845.11/8,702.40
  6. Step 6: Final answer
    x = 7,600.41

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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.