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Finding the Fourth Proportional to 8,597.32, 12,907.74 and 5,300.20

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Solution

The fourth proportional to 8,597.32, 12,907.74 and 5,300.20 is: 7,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.32 : 12,907.74 = 5,300.20 : x
  2. Step 2: Convert to fraction form
    8,597.32/12,907.74 = 5,300.20/x
  3. Step 3: Cross multiply
    8,597.32x = 12,907.74 × 5,300.20
  4. Step 4: Simplify right side
    8,597.32x = 68,413,603.55
  5. Step 5: Solve for x
    x = 68,413,603.55/8,597.32
  6. Step 6: Final answer
    x = 7,957.55

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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.