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Finding the Fourth Proportional to 10,654.60, 14,683.08 and 7,665.16

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Solution

The fourth proportional to 10,654.60, 14,683.08 and 7,665.16 is: 10,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.60 : 14,683.08 = 7,665.16 : x
  2. Step 2: Convert to fraction form
    10,654.60/14,683.08 = 7,665.16/x
  3. Step 3: Cross multiply
    10,654.60x = 14,683.08 × 7,665.16
  4. Step 4: Simplify right side
    10,654.60x = 112,548,157.49
  5. Step 5: Solve for x
    x = 112,548,157.49/10,654.60
  6. Step 6: Final answer
    x = 10,563.34

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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.