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Finding the Fourth Proportional to 9,752.96, 14,563.64 and 9,649.95

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Solution

The fourth proportional to 9,752.96, 14,563.64 and 9,649.95 is: 14,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.96 : 14,563.64 = 9,649.95 : x
  2. Step 2: Convert to fraction form
    9,752.96/14,563.64 = 9,649.95/x
  3. Step 3: Cross multiply
    9,752.96x = 14,563.64 × 9,649.95
  4. Step 4: Simplify right side
    9,752.96x = 140,538,349.57
  5. Step 5: Solve for x
    x = 140,538,349.57/9,752.96
  6. Step 6: Final answer
    x = 14,409.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.