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Finding the Fourth Proportional to 9,572.80, 14,283.56 and 8,276.80

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Solution

The fourth proportional to 9,572.80, 14,283.56 and 8,276.80 is: 12,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.80 : 14,283.56 = 8,276.80 : x
  2. Step 2: Convert to fraction form
    9,572.80/14,283.56 = 8,276.80/x
  3. Step 3: Cross multiply
    9,572.80x = 14,283.56 × 8,276.80
  4. Step 4: Simplify right side
    9,572.80x = 118,222,169.41
  5. Step 5: Solve for x
    x = 118,222,169.41/9,572.80
  6. Step 6: Final answer
    x = 12,349.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.