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Finding the Fourth Proportional to 7,834.98, 10,813.02 and 4,478.06

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Solution

The fourth proportional to 7,834.98, 10,813.02 and 4,478.06 is: 6,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.98 : 10,813.02 = 4,478.06 : x
  2. Step 2: Convert to fraction form
    7,834.98/10,813.02 = 4,478.06/x
  3. Step 3: Cross multiply
    7,834.98x = 10,813.02 × 4,478.06
  4. Step 4: Simplify right side
    7,834.98x = 48,421,352.34
  5. Step 5: Solve for x
    x = 48,421,352.34/7,834.98
  6. Step 6: Final answer
    x = 6,180.15

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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.