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Finding the Fourth Proportional to 30,957.39, 46,436.09 and 7,583.63

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Solution

The fourth proportional to 30,957.39, 46,436.09 and 7,583.63 is: 11,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957.39 : 46,436.09 = 7,583.63 : x
  2. Step 2: Convert to fraction form
    30,957.39/46,436.09 = 7,583.63/x
  3. Step 3: Cross multiply
    30,957.39x = 46,436.09 × 7,583.63
  4. Step 4: Simplify right side
    30,957.39x = 352,153,855.11
  5. Step 5: Solve for x
    x = 352,153,855.11/30,957.39
  6. Step 6: Final answer
    x = 11,375.44

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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.