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Finding the Fourth Proportional to 9,259.04, 13,918.64 and 7,430.15

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Solution

The fourth proportional to 9,259.04, 13,918.64 and 7,430.15 is: 11,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.04 : 13,918.64 = 7,430.15 : x
  2. Step 2: Convert to fraction form
    9,259.04/13,918.64 = 7,430.15/x
  3. Step 3: Cross multiply
    9,259.04x = 13,918.64 × 7,430.15
  4. Step 4: Simplify right side
    9,259.04x = 103,417,580.64
  5. Step 5: Solve for x
    x = 103,417,580.64/9,259.04
  6. Step 6: Final answer
    x = 11,169.36

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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.