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Finding the Fourth Proportional to 6,646.83, 9,164.10 and 5,447.47

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Solution

The fourth proportional to 6,646.83, 9,164.10 and 5,447.47 is: 7,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.83 : 9,164.10 = 5,447.47 : x
  2. Step 2: Convert to fraction form
    6,646.83/9,164.10 = 5,447.47/x
  3. Step 3: Cross multiply
    6,646.83x = 9,164.10 × 5,447.47
  4. Step 4: Simplify right side
    6,646.83x = 49,921,159.83
  5. Step 5: Solve for x
    x = 49,921,159.83/6,646.83
  6. Step 6: Final answer
    x = 7,510.52

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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.