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Finding the Fourth Proportional to 9,605.32, 14,401.01 and 6,477.50

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Solution

The fourth proportional to 9,605.32, 14,401.01 and 6,477.50 is: 9,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.32 : 14,401.01 = 6,477.50 : x
  2. Step 2: Convert to fraction form
    9,605.32/14,401.01 = 6,477.50/x
  3. Step 3: Cross multiply
    9,605.32x = 14,401.01 × 6,477.50
  4. Step 4: Simplify right side
    9,605.32x = 93,282,594.47
  5. Step 5: Solve for x
    x = 93,282,594.47/9,605.32
  6. Step 6: Final answer
    x = 9,711.56

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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.