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Finding the Fourth Proportional to 6,652.84, 9,172.76 and 5,389.24

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Solution

The fourth proportional to 6,652.84, 9,172.76 and 5,389.24 is: 7,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.84 : 9,172.76 = 5,389.24 : x
  2. Step 2: Convert to fraction form
    6,652.84/9,172.76 = 5,389.24/x
  3. Step 3: Cross multiply
    6,652.84x = 9,172.76 × 5,389.24
  4. Step 4: Simplify right side
    6,652.84x = 49,434,205.10
  5. Step 5: Solve for x
    x = 49,434,205.10/6,652.84
  6. Step 6: Final answer
    x = 7,430.54

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Double scale
Find fourth proportional to 6,653.84, 9,174.14 and 5,390.24
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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.