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Finding the Fourth Proportional to 6,600.54, 9,816.64 and 6,434.29

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Solution

The fourth proportional to 6,600.54, 9,816.64 and 6,434.29 is: 9,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600.54 : 9,816.64 = 6,434.29 : x
  2. Step 2: Convert to fraction form
    6,600.54/9,816.64 = 6,434.29/x
  3. Step 3: Cross multiply
    6,600.54x = 9,816.64 × 6,434.29
  4. Step 4: Simplify right side
    6,600.54x = 63,163,085.74
  5. Step 5: Solve for x
    x = 63,163,085.74/6,600.54
  6. Step 6: Final answer
    x = 9,569.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.