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Finding the Fourth Proportional to 10,584.10, 15,876.15 and 9,782.20

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Solution

The fourth proportional to 10,584.10, 15,876.15 and 9,782.20 is: 14,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.10 : 15,876.15 = 9,782.20 : x
  2. Step 2: Convert to fraction form
    10,584.10/15,876.15 = 9,782.20/x
  3. Step 3: Cross multiply
    10,584.10x = 15,876.15 × 9,782.20
  4. Step 4: Simplify right side
    10,584.10x = 155,303,674.53
  5. Step 5: Solve for x
    x = 155,303,674.53/10,584.10
  6. Step 6: Final answer
    x = 14,673.30

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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.