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Finding the Fourth Proportional to 9,477.46, 14,217.06 and 2,457.46

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Solution

The fourth proportional to 9,477.46, 14,217.06 and 2,457.46 is: 3,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.46 : 14,217.06 = 2,457.46 : x
  2. Step 2: Convert to fraction form
    9,477.46/14,217.06 = 2,457.46/x
  3. Step 3: Cross multiply
    9,477.46x = 14,217.06 × 2,457.46
  4. Step 4: Simplify right side
    9,477.46x = 34,937,856.27
  5. Step 5: Solve for x
    x = 34,937,856.27/9,477.46
  6. Step 6: Final answer
    x = 3,686.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.