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Finding the Fourth Proportional to 13,467.48, 18,582.94 and 7,802.74

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Solution

The fourth proportional to 13,467.48, 18,582.94 and 7,802.74 is: 10,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.48 : 18,582.94 = 7,802.74 : x
  2. Step 2: Convert to fraction form
    13,467.48/18,582.94 = 7,802.74/x
  3. Step 3: Cross multiply
    13,467.48x = 18,582.94 × 7,802.74
  4. Step 4: Simplify right side
    13,467.48x = 144,997,849.26
  5. Step 5: Solve for x
    x = 144,997,849.26/13,467.48
  6. Step 6: Final answer
    x = 10,766.52

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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.