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Finding the Fourth Proportional to 13,004.73, 17,946.47 and 7,036.40

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Solution

The fourth proportional to 13,004.73, 17,946.47 and 7,036.40 is: 9,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.73 : 17,946.47 = 7,036.40 : x
  2. Step 2: Convert to fraction form
    13,004.73/17,946.47 = 7,036.40/x
  3. Step 3: Cross multiply
    13,004.73x = 17,946.47 × 7,036.40
  4. Step 4: Simplify right side
    13,004.73x = 126,278,603.97
  5. Step 5: Solve for x
    x = 126,278,603.97/13,004.73
  6. Step 6: Final answer
    x = 9,710.21

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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.