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Finding the Fourth Proportional to 7,798.98, 10,735.47 and 6,802.52

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Solution

The fourth proportional to 7,798.98, 10,735.47 and 6,802.52 is: 9,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.98 : 10,735.47 = 6,802.52 : x
  2. Step 2: Convert to fraction form
    7,798.98/10,735.47 = 6,802.52/x
  3. Step 3: Cross multiply
    7,798.98x = 10,735.47 × 6,802.52
  4. Step 4: Simplify right side
    7,798.98x = 73,028,276.22
  5. Step 5: Solve for x
    x = 73,028,276.22/7,798.98
  6. Step 6: Final answer
    x = 9,363.82

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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.