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Finding the Fourth Proportional to 8,970.56, 12,372.36 and 5,827.76

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Solution

The fourth proportional to 8,970.56, 12,372.36 and 5,827.76 is: 8,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.56 : 12,372.36 = 5,827.76 : x
  2. Step 2: Convert to fraction form
    8,970.56/12,372.36 = 5,827.76/x
  3. Step 3: Cross multiply
    8,970.56x = 12,372.36 × 5,827.76
  4. Step 4: Simplify right side
    8,970.56x = 72,103,144.71
  5. Step 5: Solve for x
    x = 72,103,144.71/8,970.56
  6. Step 6: Final answer
    x = 8,037.75

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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.