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Finding the Fourth Proportional to 11,547.57, 15,942.53 and 7,575.58

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Solution

The fourth proportional to 11,547.57, 15,942.53 and 7,575.58 is: 10,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.57 : 15,942.53 = 7,575.58 : x
  2. Step 2: Convert to fraction form
    11,547.57/15,942.53 = 7,575.58/x
  3. Step 3: Cross multiply
    11,547.57x = 15,942.53 × 7,575.58
  4. Step 4: Simplify right side
    11,547.57x = 120,773,911.42
  5. Step 5: Solve for x
    x = 120,773,911.42/11,547.57
  6. Step 6: Final answer
    x = 10,458.82

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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.