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Finding the Fourth Proportional to 9,461, 13,056.06 and 5,212.28

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Solution

The fourth proportional to 9,461, 13,056.06 and 5,212.28 is: 7,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461 : 13,056.06 = 5,212.28 : x
  2. Step 2: Convert to fraction form
    9,461/13,056.06 = 5,212.28/x
  3. Step 3: Cross multiply
    9,461x = 13,056.06 × 5,212.28
  4. Step 4: Simplify right side
    9,461x = 68,051,840.42
  5. Step 5: Solve for x
    x = 68,051,840.42/9,461
  6. Step 6: Final answer
    x = 7,192.88

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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.