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Finding the Fourth Proportional to 16,547.86, 22,835.64 and 9,473.68

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Solution

The fourth proportional to 16,547.86, 22,835.64 and 9,473.68 is: 13,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.86 : 22,835.64 = 9,473.68 : x
  2. Step 2: Convert to fraction form
    16,547.86/22,835.64 = 9,473.68/x
  3. Step 3: Cross multiply
    16,547.86x = 22,835.64 × 9,473.68
  4. Step 4: Simplify right side
    16,547.86x = 216,337,545.96
  5. Step 5: Solve for x
    x = 216,337,545.96/16,547.86
  6. Step 6: Final answer
    x = 13,073.45

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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.