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Finding the Fourth Proportional to 9,652.94, 14,462.86 and 6,484.44

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Solution

The fourth proportional to 9,652.94, 14,462.86 and 6,484.44 is: 9,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.94 : 14,462.86 = 6,484.44 : x
  2. Step 2: Convert to fraction form
    9,652.94/14,462.86 = 6,484.44/x
  3. Step 3: Cross multiply
    9,652.94x = 14,462.86 × 6,484.44
  4. Step 4: Simplify right side
    9,652.94x = 93,783,547.90
  5. Step 5: Solve for x
    x = 93,783,547.90/9,652.94
  6. Step 6: Final answer
    x = 9,715.54

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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.