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Finding the Fourth Proportional to 13,248.57, 19,829.59 and 9,737.65

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Solution

The fourth proportional to 13,248.57, 19,829.59 and 9,737.65 is: 14,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248.57 : 19,829.59 = 9,737.65 : x
  2. Step 2: Convert to fraction form
    13,248.57/19,829.59 = 9,737.65/x
  3. Step 3: Cross multiply
    13,248.57x = 19,829.59 × 9,737.65
  4. Step 4: Simplify right side
    13,248.57x = 193,093,533.15
  5. Step 5: Solve for x
    x = 193,093,533.15/13,248.57
  6. Step 6: Final answer
    x = 14,574.67

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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.