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Finding the Fourth Proportional to 7,762.62, 10,712.70 and 4,405.74

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Solution

The fourth proportional to 7,762.62, 10,712.70 and 4,405.74 is: 6,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.62 : 10,712.70 = 4,405.74 : x
  2. Step 2: Convert to fraction form
    7,762.62/10,712.70 = 4,405.74/x
  3. Step 3: Cross multiply
    7,762.62x = 10,712.70 × 4,405.74
  4. Step 4: Simplify right side
    7,762.62x = 47,197,370.90
  5. Step 5: Solve for x
    x = 47,197,370.90/7,762.62
  6. Step 6: Final answer
    x = 6,080.08

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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.