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Finding the Fourth Proportional to 7,090.13, 9,784.28 and 3,903.35

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Solution

The fourth proportional to 7,090.13, 9,784.28 and 3,903.35 is: 5,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.13 : 9,784.28 = 3,903.35 : x
  2. Step 2: Convert to fraction form
    7,090.13/9,784.28 = 3,903.35/x
  3. Step 3: Cross multiply
    7,090.13x = 9,784.28 × 3,903.35
  4. Step 4: Simplify right side
    7,090.13x = 38,191,430.17
  5. Step 5: Solve for x
    x = 38,191,430.17/7,090.13
  6. Step 6: Final answer
    x = 5,386.57

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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.