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Finding the Fourth Proportional to 10,652.84, 14,693.64 and 7,016.84

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Solution

The fourth proportional to 10,652.84, 14,693.64 and 7,016.84 is: 9,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.84 : 14,693.64 = 7,016.84 : x
  2. Step 2: Convert to fraction form
    10,652.84/14,693.64 = 7,016.84/x
  3. Step 3: Cross multiply
    10,652.84x = 14,693.64 × 7,016.84
  4. Step 4: Simplify right side
    10,652.84x = 103,102,920.90
  5. Step 5: Solve for x
    x = 103,102,920.90/10,652.84
  6. Step 6: Final answer
    x = 9,678.44

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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.