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Finding the Fourth Proportional to 24,605.76, 36,914.78 and 7,075.58

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Solution

The fourth proportional to 24,605.76, 36,914.78 and 7,075.58 is: 10,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.76 : 36,914.78 = 7,075.58 : x
  2. Step 2: Convert to fraction form
    24,605.76/36,914.78 = 7,075.58/x
  3. Step 3: Cross multiply
    24,605.76x = 36,914.78 × 7,075.58
  4. Step 4: Simplify right side
    24,605.76x = 261,193,479.07
  5. Step 5: Solve for x
    x = 261,193,479.07/24,605.76
  6. Step 6: Final answer
    x = 10,615.14

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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.