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Finding the Fourth Proportional to 14,765.64, 20,365.05 and 9,460.95

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Solution

The fourth proportional to 14,765.64, 20,365.05 and 9,460.95 is: 13,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,765.64 : 20,365.05 = 9,460.95 : x
  2. Step 2: Convert to fraction form
    14,765.64/20,365.05 = 9,460.95/x
  3. Step 3: Cross multiply
    14,765.64x = 20,365.05 × 9,460.95
  4. Step 4: Simplify right side
    14,765.64x = 192,672,719.80
  5. Step 5: Solve for x
    x = 192,672,719.80/14,765.64
  6. Step 6: Final answer
    x = 13,048.72

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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.