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Finding the Fourth Proportional to 7,758.30, 10,702.53 and 5,237.22

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Solution

The fourth proportional to 7,758.30, 10,702.53 and 5,237.22 is: 7,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.30 : 10,702.53 = 5,237.22 : x
  2. Step 2: Convert to fraction form
    7,758.30/10,702.53 = 5,237.22/x
  3. Step 3: Cross multiply
    7,758.30x = 10,702.53 × 5,237.22
  4. Step 4: Simplify right side
    7,758.30x = 56,051,504.17
  5. Step 5: Solve for x
    x = 56,051,504.17/7,758.30
  6. Step 6: Final answer
    x = 7,224.71

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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.