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Finding the Fourth Proportional to 9,812.40, 13,552.32 and 7,601.10

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Solution

The fourth proportional to 9,812.40, 13,552.32 and 7,601.10 is: 10,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.40 : 13,552.32 = 7,601.10 : x
  2. Step 2: Convert to fraction form
    9,812.40/13,552.32 = 7,601.10/x
  3. Step 3: Cross multiply
    9,812.40x = 13,552.32 × 7,601.10
  4. Step 4: Simplify right side
    9,812.40x = 103,012,539.55
  5. Step 5: Solve for x
    x = 103,012,539.55/9,812.40
  6. Step 6: Final answer
    x = 10,498.20

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Half scale
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Similar ratio
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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.