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Finding the Fourth Proportional to 15,709, 23,574.30 and 6,475

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Solution

The fourth proportional to 15,709, 23,574.30 and 6,475 is: 9,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709 : 23,574.30 = 6,475 : x
  2. Step 2: Convert to fraction form
    15,709/23,574.30 = 6,475/x
  3. Step 3: Cross multiply
    15,709x = 23,574.30 × 6,475
  4. Step 4: Simplify right side
    15,709x = 152,643,592.50
  5. Step 5: Solve for x
    x = 152,643,592.50/15,709
  6. Step 6: Final answer
    x = 9,716.95

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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.