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Finding the Fourth Proportional to 9,829.51, 13,565.04 and 5,353.40

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Solution

The fourth proportional to 9,829.51, 13,565.04 and 5,353.40 is: 7,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.51 : 13,565.04 = 5,353.40 : x
  2. Step 2: Convert to fraction form
    9,829.51/13,565.04 = 5,353.40/x
  3. Step 3: Cross multiply
    9,829.51x = 13,565.04 × 5,353.40
  4. Step 4: Simplify right side
    9,829.51x = 72,619,085.14
  5. Step 5: Solve for x
    x = 72,619,085.14/9,829.51
  6. Step 6: Final answer
    x = 7,387.86

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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.