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Finding the Fourth Proportional to 12,862.32, 17,746.07 and 8,384.45

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Solution

The fourth proportional to 12,862.32, 17,746.07 and 8,384.45 is: 11,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.32 : 17,746.07 = 8,384.45 : x
  2. Step 2: Convert to fraction form
    12,862.32/17,746.07 = 8,384.45/x
  3. Step 3: Cross multiply
    12,862.32x = 17,746.07 × 8,384.45
  4. Step 4: Simplify right side
    12,862.32x = 148,790,905.96
  5. Step 5: Solve for x
    x = 148,790,905.96/12,862.32
  6. Step 6: Final answer
    x = 11,567.97

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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.