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Finding the Fourth Proportional to 13,729.62, 18,946.08 and 7,762.53

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Solution

The fourth proportional to 13,729.62, 18,946.08 and 7,762.53 is: 10,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.62 : 18,946.08 = 7,762.53 : x
  2. Step 2: Convert to fraction form
    13,729.62/18,946.08 = 7,762.53/x
  3. Step 3: Cross multiply
    13,729.62x = 18,946.08 × 7,762.53
  4. Step 4: Simplify right side
    13,729.62x = 147,069,514.38
  5. Step 5: Solve for x
    x = 147,069,514.38/13,729.62
  6. Step 6: Final answer
    x = 10,711.84

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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.