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Finding the Fourth Proportional to 7,569.70, 11,356.47 and 4,977.70

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Solution

The fourth proportional to 7,569.70, 11,356.47 and 4,977.70 is: 7,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.70 : 11,356.47 = 4,977.70 : x
  2. Step 2: Convert to fraction form
    7,569.70/11,356.47 = 4,977.70/x
  3. Step 3: Cross multiply
    7,569.70x = 11,356.47 × 4,977.70
  4. Step 4: Simplify right side
    7,569.70x = 56,529,100.72
  5. Step 5: Solve for x
    x = 56,529,100.72/7,569.70
  6. Step 6: Final answer
    x = 7,467.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.