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Finding the Fourth Proportional to 65,095.86, 97,643.07 and 15,847.86

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Solution

The fourth proportional to 65,095.86, 97,643.07 and 15,847.86 is: 23,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,095.86 : 97,643.07 = 15,847.86 : x
  2. Step 2: Convert to fraction form
    65,095.86/97,643.07 = 15,847.86/x
  3. Step 3: Cross multiply
    65,095.86x = 97,643.07 × 15,847.86
  4. Step 4: Simplify right side
    65,095.86x = 1,547,433,703.33
  5. Step 5: Solve for x
    x = 1,547,433,703.33/65,095.86
  6. Step 6: Final answer
    x = 23,771.61

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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.