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Finding the Fourth Proportional to 9,842.64, 13,574.47 and 6,655.08

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Solution

The fourth proportional to 9,842.64, 13,574.47 and 6,655.08 is: 9,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.64 : 13,574.47 = 6,655.08 : x
  2. Step 2: Convert to fraction form
    9,842.64/13,574.47 = 6,655.08/x
  3. Step 3: Cross multiply
    9,842.64x = 13,574.47 × 6,655.08
  4. Step 4: Simplify right side
    9,842.64x = 90,339,183.81
  5. Step 5: Solve for x
    x = 90,339,183.81/9,842.64
  6. Step 6: Final answer
    x = 9,178.35

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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.