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Finding the Fourth Proportional to 10,652.48, 14,696.08 and 7,069.12

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Solution

The fourth proportional to 10,652.48, 14,696.08 and 7,069.12 is: 9,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.48 : 14,696.08 = 7,069.12 : x
  2. Step 2: Convert to fraction form
    10,652.48/14,696.08 = 7,069.12/x
  3. Step 3: Cross multiply
    10,652.48x = 14,696.08 × 7,069.12
  4. Step 4: Simplify right side
    10,652.48x = 103,888,353.05
  5. Step 5: Solve for x
    x = 103,888,353.05/10,652.48
  6. Step 6: Final answer
    x = 9,752.50

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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.