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Finding the Fourth Proportional to 25,097.41, 37,644.06 and 8,457.07

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Solution

The fourth proportional to 25,097.41, 37,644.06 and 8,457.07 is: 12,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.41 : 37,644.06 = 8,457.07 : x
  2. Step 2: Convert to fraction form
    25,097.41/37,644.06 = 8,457.07/x
  3. Step 3: Cross multiply
    25,097.41x = 37,644.06 × 8,457.07
  4. Step 4: Simplify right side
    25,097.41x = 318,358,411.12
  5. Step 5: Solve for x
    x = 318,358,411.12/25,097.41
  6. Step 6: Final answer
    x = 12,684.91

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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.