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Finding the Fourth Proportional to 9,673.40, 14,510.10 and 4,746.20

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Solution

The fourth proportional to 9,673.40, 14,510.10 and 4,746.20 is: 7,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.40 : 14,510.10 = 4,746.20 : x
  2. Step 2: Convert to fraction form
    9,673.40/14,510.10 = 4,746.20/x
  3. Step 3: Cross multiply
    9,673.40x = 14,510.10 × 4,746.20
  4. Step 4: Simplify right side
    9,673.40x = 68,867,836.62
  5. Step 5: Solve for x
    x = 68,867,836.62/9,673.40
  6. Step 6: Final answer
    x = 7,119.30

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Similar ratio
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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.