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Finding the Fourth Proportional to 28,605.83, 42,908.75 and 7,829.33

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Solution

The fourth proportional to 28,605.83, 42,908.75 and 7,829.33 is: 11,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,605.83 : 42,908.75 = 7,829.33 : x
  2. Step 2: Convert to fraction form
    28,605.83/42,908.75 = 7,829.33/x
  3. Step 3: Cross multiply
    28,605.83x = 42,908.75 × 7,829.33
  4. Step 4: Simplify right side
    28,605.83x = 335,946,763.64
  5. Step 5: Solve for x
    x = 335,946,763.64/28,605.83
  6. Step 6: Final answer
    x = 11,744.00

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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.