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Finding the Fourth Proportional to 7,762.30, 10,711.65 and 4,225.30

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Solution

The fourth proportional to 7,762.30, 10,711.65 and 4,225.30 is: 5,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.30 : 10,711.65 = 4,225.30 : x
  2. Step 2: Convert to fraction form
    7,762.30/10,711.65 = 4,225.30/x
  3. Step 3: Cross multiply
    7,762.30x = 10,711.65 × 4,225.30
  4. Step 4: Simplify right side
    7,762.30x = 45,259,934.75
  5. Step 5: Solve for x
    x = 45,259,934.75/7,762.30
  6. Step 6: Final answer
    x = 5,830.74

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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.