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Finding the Fourth Proportional to 9,346.60, 13,114.40 and 9,346.60

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Solution

The fourth proportional to 9,346.60, 13,114.40 and 9,346.60 is: 13,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.60 : 13,114.40 = 9,346.60 : x
  2. Step 2: Convert to fraction form
    9,346.60/13,114.40 = 9,346.60/x
  3. Step 3: Cross multiply
    9,346.60x = 13,114.40 × 9,346.60
  4. Step 4: Simplify right side
    9,346.60x = 122,575,051.04
  5. Step 5: Solve for x
    x = 122,575,051.04/9,346.60
  6. Step 6: Final answer
    x = 13,114.40

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.