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Finding the Fourth Proportional to 9,830.73, 13,565.94 and 5,354.46

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Solution

The fourth proportional to 9,830.73, 13,565.94 and 5,354.46 is: 7,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.73 : 13,565.94 = 5,354.46 : x
  2. Step 2: Convert to fraction form
    9,830.73/13,565.94 = 5,354.46/x
  3. Step 3: Cross multiply
    9,830.73x = 13,565.94 × 5,354.46
  4. Step 4: Simplify right side
    9,830.73x = 72,638,283.09
  5. Step 5: Solve for x
    x = 72,638,283.09/9,830.73
  6. Step 6: Final answer
    x = 7,388.90

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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.