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Finding the Fourth Proportional to 8,730, 13,097.16 and 2,574

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Solution

The fourth proportional to 8,730, 13,097.16 and 2,574 is: 3,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730 : 13,097.16 = 2,574 : x
  2. Step 2: Convert to fraction form
    8,730/13,097.16 = 2,574/x
  3. Step 3: Cross multiply
    8,730x = 13,097.16 × 2,574
  4. Step 4: Simplify right side
    8,730x = 33,712,089.84
  5. Step 5: Solve for x
    x = 33,712,089.84/8,730
  6. Step 6: Final answer
    x = 3,861.64

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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.