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Finding the Fourth Proportional to 6,998,975.84, 9,658,586.58 and 3,779,711.84

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Solution

The fourth proportional to 6,998,975.84, 9,658,586.58 and 3,779,711.84 is: 5,216,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998,975.84 : 9,658,586.58 = 3,779,711.84 : x
  2. Step 2: Convert to fraction form
    6,998,975.84/9,658,586.58 = 3,779,711.84/x
  3. Step 3: Cross multiply
    6,998,975.84x = 9,658,586.58 × 3,779,711.84
  4. Step 4: Simplify right side
    6,998,975.84x = 36,506,674,054,091.11
  5. Step 5: Solve for x
    x = 36,506,674,054,091.11/6,998,975.84
  6. Step 6: Final answer
    x = 5,216,002.30

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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.