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Finding the Fourth Proportional to 9,204.90, 13,807.80 and 4,830.90

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Solution

The fourth proportional to 9,204.90, 13,807.80 and 4,830.90 is: 7,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.90 : 13,807.80 = 4,830.90 : x
  2. Step 2: Convert to fraction form
    9,204.90/13,807.80 = 4,830.90/x
  3. Step 3: Cross multiply
    9,204.90x = 13,807.80 × 4,830.90
  4. Step 4: Simplify right side
    9,204.90x = 66,704,101.02
  5. Step 5: Solve for x
    x = 66,704,101.02/9,204.90
  6. Step 6: Final answer
    x = 7,246.59

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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.