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Finding the Fourth Proportional to 7,083.64, 9,774.30 and 4,430.08

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Solution

The fourth proportional to 7,083.64, 9,774.30 and 4,430.08 is: 6,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.64 : 9,774.30 = 4,430.08 : x
  2. Step 2: Convert to fraction form
    7,083.64/9,774.30 = 4,430.08/x
  3. Step 3: Cross multiply
    7,083.64x = 9,774.30 × 4,430.08
  4. Step 4: Simplify right side
    7,083.64x = 43,300,930.94
  5. Step 5: Solve for x
    x = 43,300,930.94/7,083.64
  6. Step 6: Final answer
    x = 6,112.81

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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.