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Finding the Fourth Proportional to 7,702.76, 11,554.14 and 2,509.16

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Solution

The fourth proportional to 7,702.76, 11,554.14 and 2,509.16 is: 3,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.76 : 11,554.14 = 2,509.16 : x
  2. Step 2: Convert to fraction form
    7,702.76/11,554.14 = 2,509.16/x
  3. Step 3: Cross multiply
    7,702.76x = 11,554.14 × 2,509.16
  4. Step 4: Simplify right side
    7,702.76x = 28,991,185.92
  5. Step 5: Solve for x
    x = 28,991,185.92/7,702.76
  6. Step 6: Final answer
    x = 3,763.74

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Similar ratio
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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.