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Finding the Fourth Proportional to 12,107.58, 16,707.50 and 6,802.22

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Solution

The fourth proportional to 12,107.58, 16,707.50 and 6,802.22 is: 9,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.58 : 16,707.50 = 6,802.22 : x
  2. Step 2: Convert to fraction form
    12,107.58/16,707.50 = 6,802.22/x
  3. Step 3: Cross multiply
    12,107.58x = 16,707.50 × 6,802.22
  4. Step 4: Simplify right side
    12,107.58x = 113,648,090.65
  5. Step 5: Solve for x
    x = 113,648,090.65/12,107.58
  6. Step 6: Final answer
    x = 9,386.52

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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.