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Finding the Fourth Proportional to 6,532.05, 9,810.68 and 5,597.11

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Solution

The fourth proportional to 6,532.05, 9,810.68 and 5,597.11 is: 8,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.05 : 9,810.68 = 5,597.11 : x
  2. Step 2: Convert to fraction form
    6,532.05/9,810.68 = 5,597.11/x
  3. Step 3: Cross multiply
    6,532.05x = 9,810.68 × 5,597.11
  4. Step 4: Simplify right side
    6,532.05x = 54,911,378.10
  5. Step 5: Solve for x
    x = 54,911,378.10/6,532.05
  6. Step 6: Final answer
    x = 8,406.45

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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.