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Finding the Fourth Proportional to 7,702.04, 11,559.54 and 7,216.04

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Solution

The fourth proportional to 7,702.04, 11,559.54 and 7,216.04 is: 10,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.04 : 11,559.54 = 7,216.04 : x
  2. Step 2: Convert to fraction form
    7,702.04/11,559.54 = 7,216.04/x
  3. Step 3: Cross multiply
    7,702.04x = 11,559.54 × 7,216.04
  4. Step 4: Simplify right side
    7,702.04x = 83,414,103.02
  5. Step 5: Solve for x
    x = 83,414,103.02/7,702.04
  6. Step 6: Final answer
    x = 10,830.13

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1.5x scale

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.