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Finding the Fourth Proportional to 6,534.74, 9,802.72 and 1,854.86

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Solution

The fourth proportional to 6,534.74, 9,802.72 and 1,854.86 is: 2,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.74 : 9,802.72 = 1,854.86 : x
  2. Step 2: Convert to fraction form
    6,534.74/9,802.72 = 1,854.86/x
  3. Step 3: Cross multiply
    6,534.74x = 9,802.72 × 1,854.86
  4. Step 4: Simplify right side
    6,534.74x = 18,182,673.22
  5. Step 5: Solve for x
    x = 18,182,673.22/6,534.74
  6. Step 6: Final answer
    x = 2,782.46

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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.