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Finding the Fourth Proportional to 13,750.61, 18,975.84 and 7,462.98

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Solution

The fourth proportional to 13,750.61, 18,975.84 and 7,462.98 is: 10,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.61 : 18,975.84 = 7,462.98 : x
  2. Step 2: Convert to fraction form
    13,750.61/18,975.84 = 7,462.98/x
  3. Step 3: Cross multiply
    13,750.61x = 18,975.84 × 7,462.98
  4. Step 4: Simplify right side
    13,750.61x = 141,616,314.40
  5. Step 5: Solve for x
    x = 141,616,314.40/13,750.61
  6. Step 6: Final answer
    x = 10,298.91

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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.