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Finding the Fourth Proportional to 10,729.54, 14,807.73 and 6,254.74

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Solution

The fourth proportional to 10,729.54, 14,807.73 and 6,254.74 is: 8,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.54 : 14,807.73 = 6,254.74 : x
  2. Step 2: Convert to fraction form
    10,729.54/14,807.73 = 6,254.74/x
  3. Step 3: Cross multiply
    10,729.54x = 14,807.73 × 6,254.74
  4. Step 4: Simplify right side
    10,729.54x = 92,618,501.14
  5. Step 5: Solve for x
    x = 92,618,501.14/10,729.54
  6. Step 6: Final answer
    x = 8,632.10

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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.