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Finding the Fourth Proportional to 7,050.85, 9,730.14 and 3,864.14

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Solution

The fourth proportional to 7,050.85, 9,730.14 and 3,864.14 is: 5,332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.85 : 9,730.14 = 3,864.14 : x
  2. Step 2: Convert to fraction form
    7,050.85/9,730.14 = 3,864.14/x
  3. Step 3: Cross multiply
    7,050.85x = 9,730.14 × 3,864.14
  4. Step 4: Simplify right side
    7,050.85x = 37,598,623.18
  5. Step 5: Solve for x
    x = 37,598,623.18/7,050.85
  6. Step 6: Final answer
    x = 5,332.50

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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.