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Finding the Fourth Proportional to 10,693,683.80, 16,038,557.40 and 6,642,922.40

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Solution

The fourth proportional to 10,693,683.80, 16,038,557.40 and 6,642,922.40 is: 9,963,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693,683.80 : 16,038,557.40 = 6,642,922.40 : x
  2. Step 2: Convert to fraction form
    10,693,683.80/16,038,557.40 = 6,642,922.40/x
  3. Step 3: Cross multiply
    10,693,683.80x = 16,038,557.40 × 6,642,922.40
  4. Step 4: Simplify right side
    10,693,683.80x = 106,542,892,216,145.77
  5. Step 5: Solve for x
    x = 106,542,892,216,145.77/10,693,683.80
  6. Step 6: Final answer
    x = 9,963,160.89

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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.