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Finding the Fourth Proportional to 6,147.10, 9,220.64 and 1,530.10

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Solution

The fourth proportional to 6,147.10, 9,220.64 and 1,530.10 is: 2,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.10 : 9,220.64 = 1,530.10 : x
  2. Step 2: Convert to fraction form
    6,147.10/9,220.64 = 1,530.10/x
  3. Step 3: Cross multiply
    6,147.10x = 9,220.64 × 1,530.10
  4. Step 4: Simplify right side
    6,147.10x = 14,108,501.26
  5. Step 5: Solve for x
    x = 14,108,501.26/6,147.10
  6. Step 6: Final answer
    x = 2,295.15

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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.