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Finding the Fourth Proportional to 7,315.09, 10,970.20 and 3,152.50

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Solution

The fourth proportional to 7,315.09, 10,970.20 and 3,152.50 is: 4,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.09 : 10,970.20 = 3,152.50 : x
  2. Step 2: Convert to fraction form
    7,315.09/10,970.20 = 3,152.50/x
  3. Step 3: Cross multiply
    7,315.09x = 10,970.20 × 3,152.50
  4. Step 4: Simplify right side
    7,315.09x = 34,583,555.50
  5. Step 5: Solve for x
    x = 34,583,555.50/7,315.09
  6. Step 6: Final answer
    x = 4,727.70

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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.