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Finding the Fourth Proportional to 7,547.52, 10,409.17 and 4,859.20

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Solution

The fourth proportional to 7,547.52, 10,409.17 and 4,859.20 is: 6,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.52 : 10,409.17 = 4,859.20 : x
  2. Step 2: Convert to fraction form
    7,547.52/10,409.17 = 4,859.20/x
  3. Step 3: Cross multiply
    7,547.52x = 10,409.17 × 4,859.20
  4. Step 4: Simplify right side
    7,547.52x = 50,580,238.86
  5. Step 5: Solve for x
    x = 50,580,238.86/7,547.52
  6. Step 6: Final answer
    x = 6,701.57

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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.