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Finding the Fourth Proportional to 9,783.54, 13,501.08 and 5,307.12

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Solution

The fourth proportional to 9,783.54, 13,501.08 and 5,307.12 is: 7,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.54 : 13,501.08 = 5,307.12 : x
  2. Step 2: Convert to fraction form
    9,783.54/13,501.08 = 5,307.12/x
  3. Step 3: Cross multiply
    9,783.54x = 13,501.08 × 5,307.12
  4. Step 4: Simplify right side
    9,783.54x = 71,651,851.69
  5. Step 5: Solve for x
    x = 71,651,851.69/9,783.54
  6. Step 6: Final answer
    x = 7,323.71

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Double scale
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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.