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Finding the Fourth Proportional to 7,170.44, 9,898.54 and 4,784.38

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Solution

The fourth proportional to 7,170.44, 9,898.54 and 4,784.38 is: 6,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.44 : 9,898.54 = 4,784.38 : x
  2. Step 2: Convert to fraction form
    7,170.44/9,898.54 = 4,784.38/x
  3. Step 3: Cross multiply
    7,170.44x = 9,898.54 × 4,784.38
  4. Step 4: Simplify right side
    7,170.44x = 47,358,340.10
  5. Step 5: Solve for x
    x = 47,358,340.10/7,170.44
  6. Step 6: Final answer
    x = 6,604.67

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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.