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Finding the Fourth Proportional to 13,005.51, 17,947.64 and 7,037.24

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Solution

The fourth proportional to 13,005.51, 17,947.64 and 7,037.24 is: 9,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.51 : 17,947.64 = 7,037.24 : x
  2. Step 2: Convert to fraction form
    13,005.51/17,947.64 = 7,037.24/x
  3. Step 3: Cross multiply
    13,005.51x = 17,947.64 × 7,037.24
  4. Step 4: Simplify right side
    13,005.51x = 126,301,874.47
  5. Step 5: Solve for x
    x = 126,301,874.47/13,005.51
  6. Step 6: Final answer
    x = 9,711.41

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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.