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Finding the Fourth Proportional to 7,510.65, 10,352.74 and 5,914.77

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Solution

The fourth proportional to 7,510.65, 10,352.74 and 5,914.77 is: 8,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.65 : 10,352.74 = 5,914.77 : x
  2. Step 2: Convert to fraction form
    7,510.65/10,352.74 = 5,914.77/x
  3. Step 3: Cross multiply
    7,510.65x = 10,352.74 × 5,914.77
  4. Step 4: Simplify right side
    7,510.65x = 61,234,075.97
  5. Step 5: Solve for x
    x = 61,234,075.97/7,510.65
  6. Step 6: Final answer
    x = 8,152.97

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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.