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Finding the Fourth Proportional to 12,783.63, 17,643.02 and 7,195.71

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Solution

The fourth proportional to 12,783.63, 17,643.02 and 7,195.71 is: 9,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.63 : 17,643.02 = 7,195.71 : x
  2. Step 2: Convert to fraction form
    12,783.63/17,643.02 = 7,195.71/x
  3. Step 3: Cross multiply
    12,783.63x = 17,643.02 × 7,195.71
  4. Step 4: Simplify right side
    12,783.63x = 126,953,985.22
  5. Step 5: Solve for x
    x = 126,953,985.22/12,783.63
  6. Step 6: Final answer
    x = 9,930.98

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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.