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Finding the Fourth Proportional to 7,510.68, 10,364.09 and 4,678.38

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Solution

The fourth proportional to 7,510.68, 10,364.09 and 4,678.38 is: 6,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.68 : 10,364.09 = 4,678.38 : x
  2. Step 2: Convert to fraction form
    7,510.68/10,364.09 = 4,678.38/x
  3. Step 3: Cross multiply
    7,510.68x = 10,364.09 × 4,678.38
  4. Step 4: Simplify right side
    7,510.68x = 48,487,127.98
  5. Step 5: Solve for x
    x = 48,487,127.98/7,510.68
  6. Step 6: Final answer
    x = 6,455.76

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Half scale
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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.