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Finding the Fourth Proportional to 8,307.77, 11,464.84 and 4,904.85

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Solution

The fourth proportional to 8,307.77, 11,464.84 and 4,904.85 is: 6,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.77 : 11,464.84 = 4,904.85 : x
  2. Step 2: Convert to fraction form
    8,307.77/11,464.84 = 4,904.85/x
  3. Step 3: Cross multiply
    8,307.77x = 11,464.84 × 4,904.85
  4. Step 4: Simplify right side
    8,307.77x = 56,233,369.60
  5. Step 5: Solve for x
    x = 56,233,369.60/8,307.77
  6. Step 6: Final answer
    x = 6,768.77

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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.