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Finding the Fourth Proportional to 9,792.40, 13,506.60 and 5,810.32

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Solution

The fourth proportional to 9,792.40, 13,506.60 and 5,810.32 is: 8,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.40 : 13,506.60 = 5,810.32 : x
  2. Step 2: Convert to fraction form
    9,792.40/13,506.60 = 5,810.32/x
  3. Step 3: Cross multiply
    9,792.40x = 13,506.60 × 5,810.32
  4. Step 4: Simplify right side
    9,792.40x = 78,477,668.11
  5. Step 5: Solve for x
    x = 78,477,668.11/9,792.40
  6. Step 6: Final answer
    x = 8,014.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.