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Finding the Fourth Proportional to 13,693.93, 20,533.50 and 7,027.66

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Solution

The fourth proportional to 13,693.93, 20,533.50 and 7,027.66 is: 10,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.93 : 20,533.50 = 7,027.66 : x
  2. Step 2: Convert to fraction form
    13,693.93/20,533.50 = 7,027.66/x
  3. Step 3: Cross multiply
    13,693.93x = 20,533.50 × 7,027.66
  4. Step 4: Simplify right side
    13,693.93x = 144,302,482.28
  5. Step 5: Solve for x
    x = 144,302,482.28/13,693.93
  6. Step 6: Final answer
    x = 10,537.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.