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Finding the Fourth Proportional to 7,702.01, 10,628.80 and 4,165.22

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Solution

The fourth proportional to 7,702.01, 10,628.80 and 4,165.22 is: 5,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.01 : 10,628.80 = 4,165.22 : x
  2. Step 2: Convert to fraction form
    7,702.01/10,628.80 = 4,165.22/x
  3. Step 3: Cross multiply
    7,702.01x = 10,628.80 × 4,165.22
  4. Step 4: Simplify right side
    7,702.01x = 44,271,290.34
  5. Step 5: Solve for x
    x = 44,271,290.34/7,702.01
  6. Step 6: Final answer
    x = 5,748.02

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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.