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Finding the Fourth Proportional to 7,702.61, 10,629.61 and 4,165.82

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Solution

The fourth proportional to 7,702.61, 10,629.61 and 4,165.82 is: 5,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.61 : 10,629.61 = 4,165.82 : x
  2. Step 2: Convert to fraction form
    7,702.61/10,629.61 = 4,165.82/x
  3. Step 3: Cross multiply
    7,702.61x = 10,629.61 × 4,165.82
  4. Step 4: Simplify right side
    7,702.61x = 44,281,041.93
  5. Step 5: Solve for x
    x = 44,281,041.93/7,702.61
  6. Step 6: Final answer
    x = 5,748.84

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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.