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Finding the Fourth Proportional to 9,699, 13,384.62 and 5,507.25

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Solution

The fourth proportional to 9,699, 13,384.62 and 5,507.25 is: 7,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699 : 13,384.62 = 5,507.25 : x
  2. Step 2: Convert to fraction form
    9,699/13,384.62 = 5,507.25/x
  3. Step 3: Cross multiply
    9,699x = 13,384.62 × 5,507.25
  4. Step 4: Simplify right side
    9,699x = 73,712,448.50
  5. Step 5: Solve for x
    x = 73,712,448.50/9,699
  6. Step 6: Final answer
    x = 7,600.01

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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.