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Finding the Fourth Proportional to 9,094.34, 13,641.10 and 2,854.22

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Solution

The fourth proportional to 9,094.34, 13,641.10 and 2,854.22 is: 4,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.34 : 13,641.10 = 2,854.22 : x
  2. Step 2: Convert to fraction form
    9,094.34/13,641.10 = 2,854.22/x
  3. Step 3: Cross multiply
    9,094.34x = 13,641.10 × 2,854.22
  4. Step 4: Simplify right side
    9,094.34x = 38,934,700.44
  5. Step 5: Solve for x
    x = 38,934,700.44/9,094.34
  6. Step 6: Final answer
    x = 4,281.20

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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.