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Finding the Fourth Proportional to 8,297.55, 11,411.39 and 6,598.98

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Solution

The fourth proportional to 8,297.55, 11,411.39 and 6,598.98 is: 9,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.55 : 11,411.39 = 6,598.98 : x
  2. Step 2: Convert to fraction form
    8,297.55/11,411.39 = 6,598.98/x
  3. Step 3: Cross multiply
    8,297.55x = 11,411.39 × 6,598.98
  4. Step 4: Simplify right side
    8,297.55x = 75,303,501.39
  5. Step 5: Solve for x
    x = 75,303,501.39/8,297.55
  6. Step 6: Final answer
    x = 9,075.39

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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.