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Finding the Fourth Proportional to 8,970.72, 12,385.28 and 5,785.28

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Solution

The fourth proportional to 8,970.72, 12,385.28 and 5,785.28 is: 7,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.72 : 12,385.28 = 5,785.28 : x
  2. Step 2: Convert to fraction form
    8,970.72/12,385.28 = 5,785.28/x
  3. Step 3: Cross multiply
    8,970.72x = 12,385.28 × 5,785.28
  4. Step 4: Simplify right side
    8,970.72x = 71,652,312.68
  5. Step 5: Solve for x
    x = 71,652,312.68/8,970.72
  6. Step 6: Final answer
    x = 7,987.35

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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.