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Finding the Fourth Proportional to 14,089.77, 19,443.65 and 7,802.01

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Solution

The fourth proportional to 14,089.77, 19,443.65 and 7,802.01 is: 10,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.77 : 19,443.65 = 7,802.01 : x
  2. Step 2: Convert to fraction form
    14,089.77/19,443.65 = 7,802.01/x
  3. Step 3: Cross multiply
    14,089.77x = 19,443.65 × 7,802.01
  4. Step 4: Simplify right side
    14,089.77x = 151,699,512.73
  5. Step 5: Solve for x
    x = 151,699,512.73/14,089.77
  6. Step 6: Final answer
    x = 10,766.64

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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.