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Finding the Fourth Proportional to 7,848.60, 11,748.60 and 7,411.20

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Solution

The fourth proportional to 7,848.60, 11,748.60 and 7,411.20 is: 11,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.60 : 11,748.60 = 7,411.20 : x
  2. Step 2: Convert to fraction form
    7,848.60/11,748.60 = 7,411.20/x
  3. Step 3: Cross multiply
    7,848.60x = 11,748.60 × 7,411.20
  4. Step 4: Simplify right side
    7,848.60x = 87,071,224.32
  5. Step 5: Solve for x
    x = 87,071,224.32/7,848.60
  6. Step 6: Final answer
    x = 11,093.85

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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.