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Finding the Fourth Proportional to 13,758.56, 18,975.12 and 9,281.60

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Solution

The fourth proportional to 13,758.56, 18,975.12 and 9,281.60 is: 12,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.56 : 18,975.12 = 9,281.60 : x
  2. Step 2: Convert to fraction form
    13,758.56/18,975.12 = 9,281.60/x
  3. Step 3: Cross multiply
    13,758.56x = 18,975.12 × 9,281.60
  4. Step 4: Simplify right side
    13,758.56x = 176,119,473.79
  5. Step 5: Solve for x
    x = 176,119,473.79/13,758.56
  6. Step 6: Final answer
    x = 12,800.72

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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.