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Finding the Fourth Proportional to 13,425.94, 18,527 and 7,457.46

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Solution

The fourth proportional to 13,425.94, 18,527 and 7,457.46 is: 10,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.94 : 18,527 = 7,457.46 : x
  2. Step 2: Convert to fraction form
    13,425.94/18,527 = 7,457.46/x
  3. Step 3: Cross multiply
    13,425.94x = 18,527 × 7,457.46
  4. Step 4: Simplify right side
    13,425.94x = 138,164,361.42
  5. Step 5: Solve for x
    x = 138,164,361.42/13,425.94
  6. Step 6: Final answer
    x = 10,290.85

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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.