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Finding the Fourth Proportional to 32,430.75, 48,646.13 and 7,806.75

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Solution

The fourth proportional to 32,430.75, 48,646.13 and 7,806.75 is: 11,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,430.75 : 48,646.13 = 7,806.75 : x
  2. Step 2: Convert to fraction form
    32,430.75/48,646.13 = 7,806.75/x
  3. Step 3: Cross multiply
    32,430.75x = 48,646.13 × 7,806.75
  4. Step 4: Simplify right side
    32,430.75x = 379,768,136.34
  5. Step 5: Solve for x
    x = 379,768,136.34/32,430.75
  6. Step 6: Final answer
    x = 11,710.13

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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.