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Finding the Fourth Proportional to 10,848.94, 14,967.39 and 8,023.12

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Solution

The fourth proportional to 10,848.94, 14,967.39 and 8,023.12 is: 11,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,848.94 : 14,967.39 = 8,023.12 : x
  2. Step 2: Convert to fraction form
    10,848.94/14,967.39 = 8,023.12/x
  3. Step 3: Cross multiply
    10,848.94x = 14,967.39 × 8,023.12
  4. Step 4: Simplify right side
    10,848.94x = 120,085,166.06
  5. Step 5: Solve for x
    x = 120,085,166.06/10,848.94
  6. Step 6: Final answer
    x = 11,068.84

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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.