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Finding the Fourth Proportional to 9,758.52, 14,627.50 and 4,210.56

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Solution

The fourth proportional to 9,758.52, 14,627.50 and 4,210.56 is: 6,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.52 : 14,627.50 = 4,210.56 : x
  2. Step 2: Convert to fraction form
    9,758.52/14,627.50 = 4,210.56/x
  3. Step 3: Cross multiply
    9,758.52x = 14,627.50 × 4,210.56
  4. Step 4: Simplify right side
    9,758.52x = 61,589,966.40
  5. Step 5: Solve for x
    x = 61,589,966.40/9,758.52
  6. Step 6: Final answer
    x = 6,311.40

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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.