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Finding the Fourth Proportional to 10,496.64, 14,484.84 and 6,770.64

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Solution

The fourth proportional to 10,496.64, 14,484.84 and 6,770.64 is: 9,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.64 : 14,484.84 = 6,770.64 : x
  2. Step 2: Convert to fraction form
    10,496.64/14,484.84 = 6,770.64/x
  3. Step 3: Cross multiply
    10,496.64x = 14,484.84 × 6,770.64
  4. Step 4: Simplify right side
    10,496.64x = 98,071,637.10
  5. Step 5: Solve for x
    x = 98,071,637.10/10,496.64
  6. Step 6: Final answer
    x = 9,343.15

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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.