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Finding the Fourth Proportional to 9,312.77, 13,952.90 and 7,762.73

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Solution

The fourth proportional to 9,312.77, 13,952.90 and 7,762.73 is: 11,630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.77 : 13,952.90 = 7,762.73 : x
  2. Step 2: Convert to fraction form
    9,312.77/13,952.90 = 7,762.73/x
  3. Step 3: Cross multiply
    9,312.77x = 13,952.90 × 7,762.73
  4. Step 4: Simplify right side
    9,312.77x = 108,312,595.42
  5. Step 5: Solve for x
    x = 108,312,595.42/9,312.77
  6. Step 6: Final answer
    x = 11,630.55

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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.