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Finding the Fourth Proportional to 6,077.96, 9,117.45 and 1,695.47

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Solution

The fourth proportional to 6,077.96, 9,117.45 and 1,695.47 is: 2,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.96 : 9,117.45 = 1,695.47 : x
  2. Step 2: Convert to fraction form
    6,077.96/9,117.45 = 1,695.47/x
  3. Step 3: Cross multiply
    6,077.96x = 9,117.45 × 1,695.47
  4. Step 4: Simplify right side
    6,077.96x = 15,458,362.95
  5. Step 5: Solve for x
    x = 15,458,362.95/6,077.96
  6. Step 6: Final answer
    x = 2,543.35

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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.