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Finding the Fourth Proportional to 9,070.56, 12,510 and 6,547.68

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Solution

The fourth proportional to 9,070.56, 12,510 and 6,547.68 is: 9,030.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,070.56 : 12,510 = 6,547.68 : x
  2. Step 2: Convert to fraction form
    9,070.56/12,510 = 6,547.68/x
  3. Step 3: Cross multiply
    9,070.56x = 12,510 × 6,547.68
  4. Step 4: Simplify right side
    9,070.56x = 81,911,476.80
  5. Step 5: Solve for x
    x = 81,911,476.80/9,070.56
  6. Step 6: Final answer
    x = 9,030.48

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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.