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Finding the Fourth Proportional to 7,187, 10,741.89 and 6,482.60

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Solution

The fourth proportional to 7,187, 10,741.89 and 6,482.60 is: 9,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187 : 10,741.89 = 6,482.60 : x
  2. Step 2: Convert to fraction form
    7,187/10,741.89 = 6,482.60/x
  3. Step 3: Cross multiply
    7,187x = 10,741.89 × 6,482.60
  4. Step 4: Simplify right side
    7,187x = 69,635,376.11
  5. Step 5: Solve for x
    x = 69,635,376.11/7,187
  6. Step 6: Final answer
    x = 9,689.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.