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Finding the Fourth Proportional to 7,102.69, 9,794.02 and 4,835.50

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Solution

The fourth proportional to 7,102.69, 9,794.02 and 4,835.50 is: 6,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.69 : 9,794.02 = 4,835.50 : x
  2. Step 2: Convert to fraction form
    7,102.69/9,794.02 = 4,835.50/x
  3. Step 3: Cross multiply
    7,102.69x = 9,794.02 × 4,835.50
  4. Step 4: Simplify right side
    7,102.69x = 47,358,983.71
  5. Step 5: Solve for x
    x = 47,358,983.71/7,102.69
  6. Step 6: Final answer
    x = 6,667.75

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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.