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Finding the Fourth Proportional to 11,537, 17,281.02 and 11,132.84

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Solution

The fourth proportional to 11,537, 17,281.02 and 11,132.84 is: 16,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537 : 17,281.02 = 11,132.84 : x
  2. Step 2: Convert to fraction form
    11,537/17,281.02 = 11,132.84/x
  3. Step 3: Cross multiply
    11,537x = 17,281.02 × 11,132.84
  4. Step 4: Simplify right side
    11,537x = 192,386,830.70
  5. Step 5: Solve for x
    x = 192,386,830.70/11,537
  6. Step 6: Final answer
    x = 16,675.64

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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.