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Finding the Fourth Proportional to 7,685.69, 10,606.11 and 4,328.49

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Solution

The fourth proportional to 7,685.69, 10,606.11 and 4,328.49 is: 5,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.69 : 10,606.11 = 4,328.49 : x
  2. Step 2: Convert to fraction form
    7,685.69/10,606.11 = 4,328.49/x
  3. Step 3: Cross multiply
    7,685.69x = 10,606.11 × 4,328.49
  4. Step 4: Simplify right side
    7,685.69x = 45,908,441.07
  5. Step 5: Solve for x
    x = 45,908,441.07/7,685.69
  6. Step 6: Final answer
    x = 5,973.24

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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.