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Finding the Fourth Proportional to 7,463.54, 10,294.98 and 5,547.65

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Solution

The fourth proportional to 7,463.54, 10,294.98 and 5,547.65 is: 7,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.54 : 10,294.98 = 5,547.65 : x
  2. Step 2: Convert to fraction form
    7,463.54/10,294.98 = 5,547.65/x
  3. Step 3: Cross multiply
    7,463.54x = 10,294.98 × 5,547.65
  4. Step 4: Simplify right side
    7,463.54x = 57,112,894.32
  5. Step 5: Solve for x
    x = 57,112,894.32/7,463.54
  6. Step 6: Final answer
    x = 7,652.26

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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.