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Finding the Fourth Proportional to 9,204.84, 13,807.26 and 7,025.94

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Solution

The fourth proportional to 9,204.84, 13,807.26 and 7,025.94 is: 10,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.84 : 13,807.26 = 7,025.94 : x
  2. Step 2: Convert to fraction form
    9,204.84/13,807.26 = 7,025.94/x
  3. Step 3: Cross multiply
    9,204.84x = 13,807.26 × 7,025.94
  4. Step 4: Simplify right side
    9,204.84x = 97,008,980.32
  5. Step 5: Solve for x
    x = 97,008,980.32/9,204.84
  6. Step 6: Final answer
    x = 10,538.91

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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.