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Finding the Fourth Proportional to 24,671.84, 37,012.33 and 7,809.10

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Solution

The fourth proportional to 24,671.84, 37,012.33 and 7,809.10 is: 11,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.84 : 37,012.33 = 7,809.10 : x
  2. Step 2: Convert to fraction form
    24,671.84/37,012.33 = 7,809.10/x
  3. Step 3: Cross multiply
    24,671.84x = 37,012.33 × 7,809.10
  4. Step 4: Simplify right side
    24,671.84x = 289,032,986.20
  5. Step 5: Solve for x
    x = 289,032,986.20/24,671.84
  6. Step 6: Final answer
    x = 11,715.10

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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.