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Finding the Fourth Proportional to 6,160.34, 9,240.48 and 1,543.34

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Solution

The fourth proportional to 6,160.34, 9,240.48 and 1,543.34 is: 2,315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.34 : 9,240.48 = 1,543.34 : x
  2. Step 2: Convert to fraction form
    6,160.34/9,240.48 = 1,543.34/x
  3. Step 3: Cross multiply
    6,160.34x = 9,240.48 × 1,543.34
  4. Step 4: Simplify right side
    6,160.34x = 14,261,156.20
  5. Step 5: Solve for x
    x = 14,261,156.20/6,160.34
  6. Step 6: Final answer
    x = 2,315.00

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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.