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Finding the Fourth Proportional to 7,465.65, 10,302.93 and 4,633.93

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Solution

The fourth proportional to 7,465.65, 10,302.93 and 4,633.93 is: 6,395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.65 : 10,302.93 = 4,633.93 : x
  2. Step 2: Convert to fraction form
    7,465.65/10,302.93 = 4,633.93/x
  3. Step 3: Cross multiply
    7,465.65x = 10,302.93 × 4,633.93
  4. Step 4: Simplify right side
    7,465.65x = 47,743,056.41
  5. Step 5: Solve for x
    x = 47,743,056.41/7,465.65
  6. Step 6: Final answer
    x = 6,395.03

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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.