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Finding the Fourth Proportional to 6,578,457.58, 9,852,358.23 and 6,396,849.10

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Solution

The fourth proportional to 6,578,457.58, 9,852,358.23 and 6,396,849.10 is: 9,580,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578,457.58 : 9,852,358.23 = 6,396,849.10 : x
  2. Step 2: Convert to fraction form
    6,578,457.58/9,852,358.23 = 6,396,849.10/x
  3. Step 3: Cross multiply
    6,578,457.58x = 9,852,358.23 × 6,396,849.10
  4. Step 4: Simplify right side
    6,578,457.58x = 63,024,048,815,357.88
  5. Step 5: Solve for x
    x = 63,024,048,815,357.88/6,578,457.58
  6. Step 6: Final answer
    x = 9,580,368.66

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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.