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Finding the Fourth Proportional to 12,318, 16,988.76 and 7,603.44

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Solution

The fourth proportional to 12,318, 16,988.76 and 7,603.44 is: 10,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318 : 16,988.76 = 7,603.44 : x
  2. Step 2: Convert to fraction form
    12,318/16,988.76 = 7,603.44/x
  3. Step 3: Cross multiply
    12,318x = 16,988.76 × 7,603.44
  4. Step 4: Simplify right side
    12,318x = 129,173,017.33
  5. Step 5: Solve for x
    x = 129,173,017.33/12,318
  6. Step 6: Final answer
    x = 10,486.53

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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.