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Finding the Fourth Proportional to 13,989.76, 19,306 and 7,702.28

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Solution

The fourth proportional to 13,989.76, 19,306 and 7,702.28 is: 10,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.76 : 19,306 = 7,702.28 : x
  2. Step 2: Convert to fraction form
    13,989.76/19,306 = 7,702.28/x
  3. Step 3: Cross multiply
    13,989.76x = 19,306 × 7,702.28
  4. Step 4: Simplify right side
    13,989.76x = 148,700,217.68
  5. Step 5: Solve for x
    x = 148,700,217.68/13,989.76
  6. Step 6: Final answer
    x = 10,629.22

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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.