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Finding the Fourth Proportional to 9,802.15, 13,528.13 and 5,823.29

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Solution

The fourth proportional to 9,802.15, 13,528.13 and 5,823.29 is: 8,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.15 : 13,528.13 = 5,823.29 : x
  2. Step 2: Convert to fraction form
    9,802.15/13,528.13 = 5,823.29/x
  3. Step 3: Cross multiply
    9,802.15x = 13,528.13 × 5,823.29
  4. Step 4: Simplify right side
    9,802.15x = 78,778,228.85
  5. Step 5: Solve for x
    x = 78,778,228.85/9,802.15
  6. Step 6: Final answer
    x = 8,036.83

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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.