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Finding the Fourth Proportional to 7,784.06, 11,646.84 and 7,362.04

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Solution

The fourth proportional to 7,784.06, 11,646.84 and 7,362.04 is: 11,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.06 : 11,646.84 = 7,362.04 : x
  2. Step 2: Convert to fraction form
    7,784.06/11,646.84 = 7,362.04/x
  3. Step 3: Cross multiply
    7,784.06x = 11,646.84 × 7,362.04
  4. Step 4: Simplify right side
    7,784.06x = 85,744,501.95
  5. Step 5: Solve for x
    x = 85,744,501.95/7,784.06
  6. Step 6: Final answer
    x = 11,015.40

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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.