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Finding the Fourth Proportional to 7,605.78, 11,384.77 and 4,835.58

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Solution

The fourth proportional to 7,605.78, 11,384.77 and 4,835.58 is: 7,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.78 : 11,384.77 = 4,835.58 : x
  2. Step 2: Convert to fraction form
    7,605.78/11,384.77 = 4,835.58/x
  3. Step 3: Cross multiply
    7,605.78x = 11,384.77 × 4,835.58
  4. Step 4: Simplify right side
    7,605.78x = 55,051,966.12
  5. Step 5: Solve for x
    x = 55,051,966.12/7,605.78
  6. Step 6: Final answer
    x = 7,238.17

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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.