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Finding the Fourth Proportional to 6,666.70, 9,193.12 and 5,725.60

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Solution

The fourth proportional to 6,666.70, 9,193.12 and 5,725.60 is: 7,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.70 : 9,193.12 = 5,725.60 : x
  2. Step 2: Convert to fraction form
    6,666.70/9,193.12 = 5,725.60/x
  3. Step 3: Cross multiply
    6,666.70x = 9,193.12 × 5,725.60
  4. Step 4: Simplify right side
    6,666.70x = 52,636,127.87
  5. Step 5: Solve for x
    x = 52,636,127.87/6,666.70
  6. Step 6: Final answer
    x = 7,895.38

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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.