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Finding the Fourth Proportional to 10,307.10, 15,460.65 and 9,505.20

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Solution

The fourth proportional to 10,307.10, 15,460.65 and 9,505.20 is: 14,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.10 : 15,460.65 = 9,505.20 : x
  2. Step 2: Convert to fraction form
    10,307.10/15,460.65 = 9,505.20/x
  3. Step 3: Cross multiply
    10,307.10x = 15,460.65 × 9,505.20
  4. Step 4: Simplify right side
    10,307.10x = 146,956,570.38
  5. Step 5: Solve for x
    x = 146,956,570.38/10,307.10
  6. Step 6: Final answer
    x = 14,257.80

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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.