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Finding the Fourth Proportional to 10,071.30, 14,114.40 and 10,071.30

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Solution

The fourth proportional to 10,071.30, 14,114.40 and 10,071.30 is: 14,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.30 : 14,114.40 = 10,071.30 : x
  2. Step 2: Convert to fraction form
    10,071.30/14,114.40 = 10,071.30/x
  3. Step 3: Cross multiply
    10,071.30x = 14,114.40 × 10,071.30
  4. Step 4: Simplify right side
    10,071.30x = 142,150,356.72
  5. Step 5: Solve for x
    x = 142,150,356.72/10,071.30
  6. Step 6: Final answer
    x = 14,114.40

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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.