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Finding the Fourth Proportional to 7,858.08, 11,767.04 and 7,624.32

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Solution

The fourth proportional to 7,858.08, 11,767.04 and 7,624.32 is: 11,417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.08 : 11,767.04 = 7,624.32 : x
  2. Step 2: Convert to fraction form
    7,858.08/11,767.04 = 7,624.32/x
  3. Step 3: Cross multiply
    7,858.08x = 11,767.04 × 7,624.32
  4. Step 4: Simplify right side
    7,858.08x = 89,715,678.41
  5. Step 5: Solve for x
    x = 89,715,678.41/7,858.08
  6. Step 6: Final answer
    x = 11,417.00

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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.