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Finding the Fourth Proportional to 10,547.92, 14,554.98 and 6,821.92

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Solution

The fourth proportional to 10,547.92, 14,554.98 and 6,821.92 is: 9,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.92 : 14,554.98 = 6,821.92 : x
  2. Step 2: Convert to fraction form
    10,547.92/14,554.98 = 6,821.92/x
  3. Step 3: Cross multiply
    10,547.92x = 14,554.98 × 6,821.92
  4. Step 4: Simplify right side
    10,547.92x = 99,292,909.16
  5. Step 5: Solve for x
    x = 99,292,909.16/10,547.92
  6. Step 6: Final answer
    x = 9,413.51

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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.