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Finding the Fourth Proportional to 6,971,771.70, 10,457,657.55 and 6,706,051.20

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Solution

The fourth proportional to 6,971,771.70, 10,457,657.55 and 6,706,051.20 is: 10,059,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971,771.70 : 10,457,657.55 = 6,706,051.20 : x
  2. Step 2: Convert to fraction form
    6,971,771.70/10,457,657.55 = 6,706,051.20/x
  3. Step 3: Cross multiply
    6,971,771.70x = 10,457,657.55 × 6,706,051.20
  4. Step 4: Simplify right side
    6,971,771.70x = 70,129,586,962,366.57
  5. Step 5: Solve for x
    x = 70,129,586,962,366.57/6,971,771.70
  6. Step 6: Final answer
    x = 10,059,076.80

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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.