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Finding the Fourth Proportional to 13,037.54, 17,973.03 and 9,305.06

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Solution

The fourth proportional to 13,037.54, 17,973.03 and 9,305.06 is: 12,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.54 : 17,973.03 = 9,305.06 : x
  2. Step 2: Convert to fraction form
    13,037.54/17,973.03 = 9,305.06/x
  3. Step 3: Cross multiply
    13,037.54x = 17,973.03 × 9,305.06
  4. Step 4: Simplify right side
    13,037.54x = 167,240,122.53
  5. Step 5: Solve for x
    x = 167,240,122.53/13,037.54
  6. Step 6: Final answer
    x = 12,827.58

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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.