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Finding the Fourth Proportional to 6,488,467.44, 9,733,254.78 and 1,696,149.02

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Solution

The fourth proportional to 6,488,467.44, 9,733,254.78 and 1,696,149.02 is: 2,544,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488,467.44 : 9,733,254.78 = 1,696,149.02 : x
  2. Step 2: Convert to fraction form
    6,488,467.44/9,733,254.78 = 1,696,149.02/x
  3. Step 3: Cross multiply
    6,488,467.44x = 9,733,254.78 × 1,696,149.02
  4. Step 4: Simplify right side
    6,488,467.44x = 16,509,050,556,507.31
  5. Step 5: Solve for x
    x = 16,509,050,556,507.31/6,488,467.44
  6. Step 6: Final answer
    x = 2,544,368.25

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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.