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Finding the Fourth Proportional to 9,732.74, 14,598.57 and 8,649.50

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Solution

The fourth proportional to 9,732.74, 14,598.57 and 8,649.50 is: 12,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.74 : 14,598.57 = 8,649.50 : x
  2. Step 2: Convert to fraction form
    9,732.74/14,598.57 = 8,649.50/x
  3. Step 3: Cross multiply
    9,732.74x = 14,598.57 × 8,649.50
  4. Step 4: Simplify right side
    9,732.74x = 126,270,331.22
  5. Step 5: Solve for x
    x = 126,270,331.22/9,732.74
  6. Step 6: Final answer
    x = 12,973.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.