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Finding the Fourth Proportional to 9,802.86, 13,529.12 and 5,823.99

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Solution

The fourth proportional to 9,802.86, 13,529.12 and 5,823.99 is: 8,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.86 : 13,529.12 = 5,823.99 : x
  2. Step 2: Convert to fraction form
    9,802.86/13,529.12 = 5,823.99/x
  3. Step 3: Cross multiply
    9,802.86x = 13,529.12 × 5,823.99
  4. Step 4: Simplify right side
    9,802.86x = 78,793,430.47
  5. Step 5: Solve for x
    x = 78,793,430.47/9,802.86
  6. Step 6: Final answer
    x = 8,037.80

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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.