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Finding the Fourth Proportional to 7,762.42, 10,711.86 and 4,225.55

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Solution

The fourth proportional to 7,762.42, 10,711.86 and 4,225.55 is: 5,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.42 : 10,711.86 = 4,225.55 : x
  2. Step 2: Convert to fraction form
    7,762.42/10,711.86 = 4,225.55/x
  3. Step 3: Cross multiply
    7,762.42x = 10,711.86 × 4,225.55
  4. Step 4: Simplify right side
    7,762.42x = 45,263,500.02
  5. Step 5: Solve for x
    x = 45,263,500.02/7,762.42
  6. Step 6: Final answer
    x = 5,831.11

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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.