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Finding the Fourth Proportional to 34,307.16, 51,460.74 and 9,683.16

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Solution

The fourth proportional to 34,307.16, 51,460.74 and 9,683.16 is: 14,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,307.16 : 51,460.74 = 9,683.16 : x
  2. Step 2: Convert to fraction form
    34,307.16/51,460.74 = 9,683.16/x
  3. Step 3: Cross multiply
    34,307.16x = 51,460.74 × 9,683.16
  4. Step 4: Simplify right side
    34,307.16x = 498,302,579.14
  5. Step 5: Solve for x
    x = 498,302,579.14/34,307.16
  6. Step 6: Final answer
    x = 14,524.74

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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.