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Finding the Fourth Proportional to 8,457.48, 11,672.71 and 5,802.71

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Solution

The fourth proportional to 8,457.48, 11,672.71 and 5,802.71 is: 8,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.48 : 11,672.71 = 5,802.71 : x
  2. Step 2: Convert to fraction form
    8,457.48/11,672.71 = 5,802.71/x
  3. Step 3: Cross multiply
    8,457.48x = 11,672.71 × 5,802.71
  4. Step 4: Simplify right side
    8,457.48x = 67,733,278.17
  5. Step 5: Solve for x
    x = 67,733,278.17/8,457.48
  6. Step 6: Final answer
    x = 8,008.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.