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Finding the Fourth Proportional to 6,430.65, 9,646.70 and 2,047.10

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Solution

The fourth proportional to 6,430.65, 9,646.70 and 2,047.10 is: 3,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.65 : 9,646.70 = 2,047.10 : x
  2. Step 2: Convert to fraction form
    6,430.65/9,646.70 = 2,047.10/x
  3. Step 3: Cross multiply
    6,430.65x = 9,646.70 × 2,047.10
  4. Step 4: Simplify right side
    6,430.65x = 19,747,701.10
  5. Step 5: Solve for x
    x = 19,747,701.10/6,430.65
  6. Step 6: Final answer
    x = 3,070.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.