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Finding the Fourth Proportional to 9,098.28, 13,653.18 and 5,210.28

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Solution

The fourth proportional to 9,098.28, 13,653.18 and 5,210.28 is: 7,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.28 : 13,653.18 = 5,210.28 : x
  2. Step 2: Convert to fraction form
    9,098.28/13,653.18 = 5,210.28/x
  3. Step 3: Cross multiply
    9,098.28x = 13,653.18 × 5,210.28
  4. Step 4: Simplify right side
    9,098.28x = 71,136,890.69
  5. Step 5: Solve for x
    x = 71,136,890.69/9,098.28
  6. Step 6: Final answer
    x = 7,818.72

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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.