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Finding the Fourth Proportional to 9,765.74, 14,647.39 and 3,920.38

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Solution

The fourth proportional to 9,765.74, 14,647.39 and 3,920.38 is: 5,880.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.74 : 14,647.39 = 3,920.38 : x
  2. Step 2: Convert to fraction form
    9,765.74/14,647.39 = 3,920.38/x
  3. Step 3: Cross multiply
    9,765.74x = 14,647.39 × 3,920.38
  4. Step 4: Simplify right side
    9,765.74x = 57,423,334.81
  5. Step 5: Solve for x
    x = 57,423,334.81/9,765.74
  6. Step 6: Final answer
    x = 5,880.08

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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.