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Finding the Fourth Proportional to 9,492.08, 13,095.60 and 5,954

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Solution

The fourth proportional to 9,492.08, 13,095.60 and 5,954 is: 8,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.08 : 13,095.60 = 5,954 : x
  2. Step 2: Convert to fraction form
    9,492.08/13,095.60 = 5,954/x
  3. Step 3: Cross multiply
    9,492.08x = 13,095.60 × 5,954
  4. Step 4: Simplify right side
    9,492.08x = 77,971,202.40
  5. Step 5: Solve for x
    x = 77,971,202.40/9,492.08
  6. Step 6: Final answer
    x = 8,214.34

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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.