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Finding the Fourth Proportional to 9,946.16, 14,892.24 and 7,017.20

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Solution

The fourth proportional to 9,946.16, 14,892.24 and 7,017.20 is: 10,506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.16 : 14,892.24 = 7,017.20 : x
  2. Step 2: Convert to fraction form
    9,946.16/14,892.24 = 7,017.20/x
  3. Step 3: Cross multiply
    9,946.16x = 14,892.24 × 7,017.20
  4. Step 4: Simplify right side
    9,946.16x = 104,501,826.53
  5. Step 5: Solve for x
    x = 104,501,826.53/9,946.16
  6. Step 6: Final answer
    x = 10,506.75

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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.