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Finding the Fourth Proportional to 4,698, 7,047.71 and 1,411.02

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Solution

The fourth proportional to 4,698, 7,047.71 and 1,411.02 is: 2,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698 : 7,047.71 = 1,411.02 : x
  2. Step 2: Convert to fraction form
    4,698/7,047.71 = 1,411.02/x
  3. Step 3: Cross multiply
    4,698x = 7,047.71 × 1,411.02
  4. Step 4: Simplify right side
    4,698x = 9,944,458.00
  5. Step 5: Solve for x
    x = 9,944,458.00/4,698
  6. Step 6: Final answer
    x = 2,116.74

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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.