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Finding the Fourth Proportional to 24,714.76, 37,075.76 and 7,182.31

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Solution

The fourth proportional to 24,714.76, 37,075.76 and 7,182.31 is: 10,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.76 : 37,075.76 = 7,182.31 : x
  2. Step 2: Convert to fraction form
    24,714.76/37,075.76 = 7,182.31/x
  3. Step 3: Cross multiply
    24,714.76x = 37,075.76 × 7,182.31
  4. Step 4: Simplify right side
    24,714.76x = 266,289,601.81
  5. Step 5: Solve for x
    x = 266,289,601.81/24,714.76
  6. Step 6: Final answer
    x = 10,774.52

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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.