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Finding the Fourth Proportional to 9,670.33, 14,478.20 and 6,151.64

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Solution

The fourth proportional to 9,670.33, 14,478.20 and 6,151.64 is: 9,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.33 : 14,478.20 = 6,151.64 : x
  2. Step 2: Convert to fraction form
    9,670.33/14,478.20 = 6,151.64/x
  3. Step 3: Cross multiply
    9,670.33x = 14,478.20 × 6,151.64
  4. Step 4: Simplify right side
    9,670.33x = 89,064,643.49
  5. Step 5: Solve for x
    x = 89,064,643.49/9,670.33
  6. Step 6: Final answer
    x = 9,210.10

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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.