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Finding the Fourth Proportional to 27,482.15, 41,219.48 and 7,762.29

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Solution

The fourth proportional to 27,482.15, 41,219.48 and 7,762.29 is: 11,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,482.15 : 41,219.48 = 7,762.29 : x
  2. Step 2: Convert to fraction form
    27,482.15/41,219.48 = 7,762.29/x
  3. Step 3: Cross multiply
    27,482.15x = 41,219.48 × 7,762.29
  4. Step 4: Simplify right side
    27,482.15x = 319,957,518.60
  5. Step 5: Solve for x
    x = 319,957,518.60/27,482.15
  6. Step 6: Final answer
    x = 11,642.38

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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.