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Finding the Fourth Proportional to 9,851.10, 13,594.62 and 5,374.80

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Solution

The fourth proportional to 9,851.10, 13,594.62 and 5,374.80 is: 7,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.10 : 13,594.62 = 5,374.80 : x
  2. Step 2: Convert to fraction form
    9,851.10/13,594.62 = 5,374.80/x
  3. Step 3: Cross multiply
    9,851.10x = 13,594.62 × 5,374.80
  4. Step 4: Simplify right side
    9,851.10x = 73,068,363.58
  5. Step 5: Solve for x
    x = 73,068,363.58/9,851.10
  6. Step 6: Final answer
    x = 7,417.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.