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Finding the Fourth Proportional to 13,588.76, 18,752.08 and 8,281.64

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Solution

The fourth proportional to 13,588.76, 18,752.08 and 8,281.64 is: 11,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.76 : 18,752.08 = 8,281.64 : x
  2. Step 2: Convert to fraction form
    13,588.76/18,752.08 = 8,281.64/x
  3. Step 3: Cross multiply
    13,588.76x = 18,752.08 × 8,281.64
  4. Step 4: Simplify right side
    13,588.76x = 155,297,975.81
  5. Step 5: Solve for x
    x = 155,297,975.81/13,588.76
  6. Step 6: Final answer
    x = 11,428.41

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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.