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Finding the Fourth Proportional to 6,500,798.84, 8,966,782.76 and 4,180,624.76

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Solution

The fourth proportional to 6,500,798.84, 8,966,782.76 and 4,180,624.76 is: 5,766,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500,798.84 : 8,966,782.76 = 4,180,624.76 : x
  2. Step 2: Convert to fraction form
    6,500,798.84/8,966,782.76 = 4,180,624.76/x
  3. Step 3: Cross multiply
    6,500,798.84x = 8,966,782.76 × 4,180,624.76
  4. Step 4: Simplify right side
    6,500,798.84x = 37,486,754,023,997.13
  5. Step 5: Solve for x
    x = 37,486,754,023,997.13/6,500,798.84
  6. Step 6: Final answer
    x = 5,766,484.23

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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.