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Finding the Fourth Proportional to 10,099.17, 13,905.95 and 10,070.01

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Solution

The fourth proportional to 10,099.17, 13,905.95 and 10,070.01 is: 13,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.17 : 13,905.95 = 10,070.01 : x
  2. Step 2: Convert to fraction form
    10,099.17/13,905.95 = 10,070.01/x
  3. Step 3: Cross multiply
    10,099.17x = 13,905.95 × 10,070.01
  4. Step 4: Simplify right side
    10,099.17x = 140,033,005.21
  5. Step 5: Solve for x
    x = 140,033,005.21/10,099.17
  6. Step 6: Final answer
    x = 13,865.79

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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.