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Finding the Fourth Proportional to 12,812.68, 17,683.08 and 7,509.52

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Solution

The fourth proportional to 12,812.68, 17,683.08 and 7,509.52 is: 10,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.68 : 17,683.08 = 7,509.52 : x
  2. Step 2: Convert to fraction form
    12,812.68/17,683.08 = 7,509.52/x
  3. Step 3: Cross multiply
    12,812.68x = 17,683.08 × 7,509.52
  4. Step 4: Simplify right side
    12,812.68x = 132,791,442.92
  5. Step 5: Solve for x
    x = 132,791,442.92/12,812.68
  6. Step 6: Final answer
    x = 10,364.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.