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Finding the Fourth Proportional to 7,700.52, 10,626.66 and 6,023.64

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Solution

The fourth proportional to 7,700.52, 10,626.66 and 6,023.64 is: 8,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.52 : 10,626.66 = 6,023.64 : x
  2. Step 2: Convert to fraction form
    7,700.52/10,626.66 = 6,023.64/x
  3. Step 3: Cross multiply
    7,700.52x = 10,626.66 × 6,023.64
  4. Step 4: Simplify right side
    7,700.52x = 64,011,174.24
  5. Step 5: Solve for x
    x = 64,011,174.24/7,700.52
  6. Step 6: Final answer
    x = 8,312.58

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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.