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Finding the Fourth Proportional to 10,805.76, 14,912.64 and 6,088.32

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Solution

The fourth proportional to 10,805.76, 14,912.64 and 6,088.32 is: 8,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.76 : 14,912.64 = 6,088.32 : x
  2. Step 2: Convert to fraction form
    10,805.76/14,912.64 = 6,088.32/x
  3. Step 3: Cross multiply
    10,805.76x = 14,912.64 × 6,088.32
  4. Step 4: Simplify right side
    10,805.76x = 90,792,924.36
  5. Step 5: Solve for x
    x = 90,792,924.36/10,805.76
  6. Step 6: Final answer
    x = 8,402.27

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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.