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Finding the Fourth Proportional to 13,005.51, 17,947.54 and 7,037.06

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Solution

The fourth proportional to 13,005.51, 17,947.54 and 7,037.06 is: 9,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.51 : 17,947.54 = 7,037.06 : x
  2. Step 2: Convert to fraction form
    13,005.51/17,947.54 = 7,037.06/x
  3. Step 3: Cross multiply
    13,005.51x = 17,947.54 × 7,037.06
  4. Step 4: Simplify right side
    13,005.51x = 126,297,935.85
  5. Step 5: Solve for x
    x = 126,297,935.85/13,005.51
  6. Step 6: Final answer
    x = 9,711.11

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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.