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Finding the Fourth Proportional to 11,565.16, 15,956.02 and 7,530.16

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Solution

The fourth proportional to 11,565.16, 15,956.02 and 7,530.16 is: 10,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.16 : 15,956.02 = 7,530.16 : x
  2. Step 2: Convert to fraction form
    11,565.16/15,956.02 = 7,530.16/x
  3. Step 3: Cross multiply
    11,565.16x = 15,956.02 × 7,530.16
  4. Step 4: Simplify right side
    11,565.16x = 120,151,383.56
  5. Step 5: Solve for x
    x = 120,151,383.56/11,565.16
  6. Step 6: Final answer
    x = 10,389.08

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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.