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Finding the Fourth Proportional to 10,106.10, 14,177.70 and 10,106.10

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Solution

The fourth proportional to 10,106.10, 14,177.70 and 10,106.10 is: 14,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.10 : 14,177.70 = 10,106.10 : x
  2. Step 2: Convert to fraction form
    10,106.10/14,177.70 = 10,106.10/x
  3. Step 3: Cross multiply
    10,106.10x = 14,177.70 × 10,106.10
  4. Step 4: Simplify right side
    10,106.10x = 143,281,253.97
  5. Step 5: Solve for x
    x = 143,281,253.97/10,106.10
  6. Step 6: Final answer
    x = 14,177.70

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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.