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Finding the Fourth Proportional to 7,762.60, 11,643.90 and 7,460.20

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Solution

The fourth proportional to 7,762.60, 11,643.90 and 7,460.20 is: 11,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.60 : 11,643.90 = 7,460.20 : x
  2. Step 2: Convert to fraction form
    7,762.60/11,643.90 = 7,460.20/x
  3. Step 3: Cross multiply
    7,762.60x = 11,643.90 × 7,460.20
  4. Step 4: Simplify right side
    7,762.60x = 86,865,822.78
  5. Step 5: Solve for x
    x = 86,865,822.78/7,762.60
  6. Step 6: Final answer
    x = 11,190.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.