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Finding the Fourth Proportional to 7,492.65, 10,340.51 and 4,136.19

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Solution

The fourth proportional to 7,492.65, 10,340.51 and 4,136.19 is: 5,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.65 : 10,340.51 = 4,136.19 : x
  2. Step 2: Convert to fraction form
    7,492.65/10,340.51 = 4,136.19/x
  3. Step 3: Cross multiply
    7,492.65x = 10,340.51 × 4,136.19
  4. Step 4: Simplify right side
    7,492.65x = 42,770,314.06
  5. Step 5: Solve for x
    x = 42,770,314.06/7,492.65
  6. Step 6: Final answer
    x = 5,708.30

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Half scale
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Double 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.