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Finding the Fourth Proportional to 10,547.40, 15,833.04 and 6,654

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Solution

The fourth proportional to 10,547.40, 15,833.04 and 6,654 is: 9,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.40 : 15,833.04 = 6,654 : x
  2. Step 2: Convert to fraction form
    10,547.40/15,833.04 = 6,654/x
  3. Step 3: Cross multiply
    10,547.40x = 15,833.04 × 6,654
  4. Step 4: Simplify right side
    10,547.40x = 105,353,048.16
  5. Step 5: Solve for x
    x = 105,353,048.16/10,547.40
  6. Step 6: Final answer
    x = 9,988.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.