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Finding the Fourth Proportional to 10,784.67, 14,873.67 and 6,534.75

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Solution

The fourth proportional to 10,784.67, 14,873.67 and 6,534.75 is: 9,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.67 : 14,873.67 = 6,534.75 : x
  2. Step 2: Convert to fraction form
    10,784.67/14,873.67 = 6,534.75/x
  3. Step 3: Cross multiply
    10,784.67x = 14,873.67 × 6,534.75
  4. Step 4: Simplify right side
    10,784.67x = 97,195,715.03
  5. Step 5: Solve for x
    x = 97,195,715.03/10,784.67
  6. Step 6: Final answer
    x = 9,012.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.