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Finding the Fourth Proportional to 7,762.40, 11,624.16 and 6,195.68

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Solution

The fourth proportional to 7,762.40, 11,624.16 and 6,195.68 is: 9,278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.40 : 11,624.16 = 6,195.68 : x
  2. Step 2: Convert to fraction form
    7,762.40/11,624.16 = 6,195.68/x
  3. Step 3: Cross multiply
    7,762.40x = 11,624.16 × 6,195.68
  4. Step 4: Simplify right side
    7,762.40x = 72,019,575.63
  5. Step 5: Solve for x
    x = 72,019,575.63/7,762.40
  6. Step 6: Final answer
    x = 9,278.00

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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.