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Finding the Fourth Proportional to 6,507,573.40, 9,771,857.70 and 4,911,938.20

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Solution

The fourth proportional to 6,507,573.40, 9,771,857.70 and 4,911,938.20 is: 7,375,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507,573.40 : 9,771,857.70 = 4,911,938.20 : x
  2. Step 2: Convert to fraction form
    6,507,573.40/9,771,857.70 = 4,911,938.20/x
  3. Step 3: Cross multiply
    6,507,573.40x = 9,771,857.70 × 4,911,938.20
  4. Step 4: Simplify right side
    6,507,573.40x = 47,998,761,121,594.14
  5. Step 5: Solve for x
    x = 47,998,761,121,594.14/6,507,573.40
  6. Step 6: Final answer
    x = 7,375,830.92

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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.