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Finding the Fourth Proportional to 9,661.50, 14,492.25 and 2,365.50

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Solution

The fourth proportional to 9,661.50, 14,492.25 and 2,365.50 is: 3,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.50 : 14,492.25 = 2,365.50 : x
  2. Step 2: Convert to fraction form
    9,661.50/14,492.25 = 2,365.50/x
  3. Step 3: Cross multiply
    9,661.50x = 14,492.25 × 2,365.50
  4. Step 4: Simplify right side
    9,661.50x = 34,281,417.38
  5. Step 5: Solve for x
    x = 34,281,417.38/9,661.50
  6. Step 6: Final answer
    x = 3,548.25

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.