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Finding the Fourth Proportional to 7,827.99, 10,802.28 and 4,685.91

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Solution

The fourth proportional to 7,827.99, 10,802.28 and 4,685.91 is: 6,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.99 : 10,802.28 = 4,685.91 : x
  2. Step 2: Convert to fraction form
    7,827.99/10,802.28 = 4,685.91/x
  3. Step 3: Cross multiply
    7,827.99x = 10,802.28 × 4,685.91
  4. Step 4: Simplify right side
    7,827.99x = 50,618,511.87
  5. Step 5: Solve for x
    x = 50,618,511.87/7,827.99
  6. Step 6: Final answer
    x = 6,466.35

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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.