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Finding the Fourth Proportional to 10,712.88, 14,783.94 and 6,464.16

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Solution

The fourth proportional to 10,712.88, 14,783.94 and 6,464.16 is: 8,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.88 : 14,783.94 = 6,464.16 : x
  2. Step 2: Convert to fraction form
    10,712.88/14,783.94 = 6,464.16/x
  3. Step 3: Cross multiply
    10,712.88x = 14,783.94 × 6,464.16
  4. Step 4: Simplify right side
    10,712.88x = 95,565,753.59
  5. Step 5: Solve for x
    x = 95,565,753.59/10,712.88
  6. Step 6: Final answer
    x = 8,920.64

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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.