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Finding the Fourth Proportional to 7,089.66, 9,783.48 and 3,945.78

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Solution

The fourth proportional to 7,089.66, 9,783.48 and 3,945.78 is: 5,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.66 : 9,783.48 = 3,945.78 : x
  2. Step 2: Convert to fraction form
    7,089.66/9,783.48 = 3,945.78/x
  3. Step 3: Cross multiply
    7,089.66x = 9,783.48 × 3,945.78
  4. Step 4: Simplify right side
    7,089.66x = 38,603,459.71
  5. Step 5: Solve for x
    x = 38,603,459.71/7,089.66
  6. Step 6: Final answer
    x = 5,445.04

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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.