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Finding the Fourth Proportional to 7,802.75, 10,762.73 and 5,254.90

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Solution

The fourth proportional to 7,802.75, 10,762.73 and 5,254.90 is: 7,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.75 : 10,762.73 = 5,254.90 : x
  2. Step 2: Convert to fraction form
    7,802.75/10,762.73 = 5,254.90/x
  3. Step 3: Cross multiply
    7,802.75x = 10,762.73 × 5,254.90
  4. Step 4: Simplify right side
    7,802.75x = 56,557,069.88
  5. Step 5: Solve for x
    x = 56,557,069.88/7,802.75
  6. Step 6: Final answer
    x = 7,248.35

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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.