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Finding the Fourth Proportional to 7,808.19, 10,762.63 and 4,817.46

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Solution

The fourth proportional to 7,808.19, 10,762.63 and 4,817.46 is: 6,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.19 : 10,762.63 = 4,817.46 : x
  2. Step 2: Convert to fraction form
    7,808.19/10,762.63 = 4,817.46/x
  3. Step 3: Cross multiply
    7,808.19x = 10,762.63 × 4,817.46
  4. Step 4: Simplify right side
    7,808.19x = 51,848,539.52
  5. Step 5: Solve for x
    x = 51,848,539.52/7,808.19
  6. Step 6: Final answer
    x = 6,640.28

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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.