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Finding the Fourth Proportional to 9,715.40, 14,576.70 and 9,355.40

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Solution

The fourth proportional to 9,715.40, 14,576.70 and 9,355.40 is: 14,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.40 : 14,576.70 = 9,355.40 : x
  2. Step 2: Convert to fraction form
    9,715.40/14,576.70 = 9,355.40/x
  3. Step 3: Cross multiply
    9,715.40x = 14,576.70 × 9,355.40
  4. Step 4: Simplify right side
    9,715.40x = 136,370,859.18
  5. Step 5: Solve for x
    x = 136,370,859.18/9,715.40
  6. Step 6: Final answer
    x = 14,036.57

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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.