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Finding the Fourth Proportional to 10,071.80, 15,107.70 and 9,415.70

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Solution

The fourth proportional to 10,071.80, 15,107.70 and 9,415.70 is: 14,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.80 : 15,107.70 = 9,415.70 : x
  2. Step 2: Convert to fraction form
    10,071.80/15,107.70 = 9,415.70/x
  3. Step 3: Cross multiply
    10,071.80x = 15,107.70 × 9,415.70
  4. Step 4: Simplify right side
    10,071.80x = 142,249,570.89
  5. Step 5: Solve for x
    x = 142,249,570.89/10,071.80
  6. Step 6: Final answer
    x = 14,123.55

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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.