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Finding the Fourth Proportional to 10,796.76, 14,899.16 and 6,548.32

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Solution

The fourth proportional to 10,796.76, 14,899.16 and 6,548.32 is: 9,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.76 : 14,899.16 = 6,548.32 : x
  2. Step 2: Convert to fraction form
    10,796.76/14,899.16 = 6,548.32/x
  3. Step 3: Cross multiply
    10,796.76x = 14,899.16 × 6,548.32
  4. Step 4: Simplify right side
    10,796.76x = 97,564,467.41
  5. Step 5: Solve for x
    x = 97,564,467.41/10,796.76
  6. Step 6: Final answer
    x = 9,036.46

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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.