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Finding the Fourth Proportional to 14,648.16, 20,214.28 and 7,933.60

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Solution

The fourth proportional to 14,648.16, 20,214.28 and 7,933.60 is: 10,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.16 : 20,214.28 = 7,933.60 : x
  2. Step 2: Convert to fraction form
    14,648.16/20,214.28 = 7,933.60/x
  3. Step 3: Cross multiply
    14,648.16x = 20,214.28 × 7,933.60
  4. Step 4: Simplify right side
    14,648.16x = 160,372,011.81
  5. Step 5: Solve for x
    x = 160,372,011.81/14,648.16
  6. Step 6: Final answer
    x = 10,948.27

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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.