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Finding the Fourth Proportional to 9,809.52, 13,536 and 5,830.80

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Solution

The fourth proportional to 9,809.52, 13,536 and 5,830.80 is: 8,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.52 : 13,536 = 5,830.80 : x
  2. Step 2: Convert to fraction form
    9,809.52/13,536 = 5,830.80/x
  3. Step 3: Cross multiply
    9,809.52x = 13,536 × 5,830.80
  4. Step 4: Simplify right side
    9,809.52x = 78,925,708.80
  5. Step 5: Solve for x
    x = 78,925,708.80/9,809.52
  6. Step 6: Final answer
    x = 8,045.83

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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.