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Finding the Fourth Proportional to 10,446.14, 14,416 and 5,730.74

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Solution

The fourth proportional to 10,446.14, 14,416 and 5,730.74 is: 7,908.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.14 : 14,416 = 5,730.74 : x
  2. Step 2: Convert to fraction form
    10,446.14/14,416 = 5,730.74/x
  3. Step 3: Cross multiply
    10,446.14x = 14,416 × 5,730.74
  4. Step 4: Simplify right side
    10,446.14x = 82,614,347.84
  5. Step 5: Solve for x
    x = 82,614,347.84/10,446.14
  6. Step 6: Final answer
    x = 7,908.60

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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.