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Finding the Fourth Proportional to 9,241.32, 12,737.64 and 6,549

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Solution

The fourth proportional to 9,241.32, 12,737.64 and 6,549 is: 9,026.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.32 : 12,737.64 = 6,549 : x
  2. Step 2: Convert to fraction form
    9,241.32/12,737.64 = 6,549/x
  3. Step 3: Cross multiply
    9,241.32x = 12,737.64 × 6,549
  4. Step 4: Simplify right side
    9,241.32x = 83,418,804.36
  5. Step 5: Solve for x
    x = 83,418,804.36/9,241.32
  6. Step 6: Final answer
    x = 9,026.72

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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.