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Finding the Fourth Proportional to 9,649.46, 14,459.24 and 6,693.65

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Solution

The fourth proportional to 9,649.46, 14,459.24 and 6,693.65 is: 10,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.46 : 14,459.24 = 6,693.65 : x
  2. Step 2: Convert to fraction form
    9,649.46/14,459.24 = 6,693.65/x
  3. Step 3: Cross multiply
    9,649.46x = 14,459.24 × 6,693.65
  4. Step 4: Simplify right side
    9,649.46x = 96,785,090.49
  5. Step 5: Solve for x
    x = 96,785,090.49/9,649.46
  6. Step 6: Final answer
    x = 10,030.10

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.