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Finding the Fourth Proportional to 9,547, 13,174.86 and 5,355.26

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Solution

The fourth proportional to 9,547, 13,174.86 and 5,355.26 is: 7,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547 : 13,174.86 = 5,355.26 : x
  2. Step 2: Convert to fraction form
    9,547/13,174.86 = 5,355.26/x
  3. Step 3: Cross multiply
    9,547x = 13,174.86 × 5,355.26
  4. Step 4: Simplify right side
    9,547x = 70,554,800.76
  5. Step 5: Solve for x
    x = 70,554,800.76/9,547
  6. Step 6: Final answer
    x = 7,390.26

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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.