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Finding the Fourth Proportional to 14,153.12, 19,530 and 7,865.12

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Solution

The fourth proportional to 14,153.12, 19,530 and 7,865.12 is: 10,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.12 : 19,530 = 7,865.12 : x
  2. Step 2: Convert to fraction form
    14,153.12/19,530 = 7,865.12/x
  3. Step 3: Cross multiply
    14,153.12x = 19,530 × 7,865.12
  4. Step 4: Simplify right side
    14,153.12x = 153,605,793.60
  5. Step 5: Solve for x
    x = 153,605,793.60/14,153.12
  6. Step 6: Final answer
    x = 10,853.14

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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.