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Finding the Fourth Proportional to 8,374.60, 11,557.14 and 4,648.60

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Solution

The fourth proportional to 8,374.60, 11,557.14 and 4,648.60 is: 6,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.60 : 11,557.14 = 4,648.60 : x
  2. Step 2: Convert to fraction form
    8,374.60/11,557.14 = 4,648.60/x
  3. Step 3: Cross multiply
    8,374.60x = 11,557.14 × 4,648.60
  4. Step 4: Simplify right side
    8,374.60x = 53,724,521.00
  5. Step 5: Solve for x
    x = 53,724,521.00/8,374.60
  6. Step 6: Final answer
    x = 6,415.17

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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.