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Finding the Fourth Proportional to 7,852.16, 10,834.76 and 5,022.07

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Solution

The fourth proportional to 7,852.16, 10,834.76 and 5,022.07 is: 6,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.16 : 10,834.76 = 5,022.07 : x
  2. Step 2: Convert to fraction form
    7,852.16/10,834.76 = 5,022.07/x
  3. Step 3: Cross multiply
    7,852.16x = 10,834.76 × 5,022.07
  4. Step 4: Simplify right side
    7,852.16x = 54,412,908.62
  5. Step 5: Solve for x
    x = 54,412,908.62/7,852.16
  6. Step 6: Final answer
    x = 6,929.67

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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.