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Finding the Fourth Proportional to 24,714.80, 37,077.60 and 8,075.60

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Solution

The fourth proportional to 24,714.80, 37,077.60 and 8,075.60 is: 12,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.80 : 37,077.60 = 8,075.60 : x
  2. Step 2: Convert to fraction form
    24,714.80/37,077.60 = 8,075.60/x
  3. Step 3: Cross multiply
    24,714.80x = 37,077.60 × 8,075.60
  4. Step 4: Simplify right side
    24,714.80x = 299,423,866.56
  5. Step 5: Solve for x
    x = 299,423,866.56/24,714.80
  6. Step 6: Final answer
    x = 12,115.16

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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.