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Finding the Fourth Proportional to 9,907.64, 14,861.46 and 4,717.16

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Solution

The fourth proportional to 9,907.64, 14,861.46 and 4,717.16 is: 7,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.64 : 14,861.46 = 4,717.16 : x
  2. Step 2: Convert to fraction form
    9,907.64/14,861.46 = 4,717.16/x
  3. Step 3: Cross multiply
    9,907.64x = 14,861.46 × 4,717.16
  4. Step 4: Simplify right side
    9,907.64x = 70,103,884.65
  5. Step 5: Solve for x
    x = 70,103,884.65/9,907.64
  6. Step 6: Final answer
    x = 7,075.74

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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.