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Finding the Fourth Proportional to 7,852.57, 10,834.80 and 4,666.90

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Solution

The fourth proportional to 7,852.57, 10,834.80 and 4,666.90 is: 6,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.57 : 10,834.80 = 4,666.90 : x
  2. Step 2: Convert to fraction form
    7,852.57/10,834.80 = 4,666.90/x
  3. Step 3: Cross multiply
    7,852.57x = 10,834.80 × 4,666.90
  4. Step 4: Simplify right side
    7,852.57x = 50,564,928.12
  5. Step 5: Solve for x
    x = 50,564,928.12/7,852.57
  6. Step 6: Final answer
    x = 6,439.28

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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.